diff --git a/.api-reports/api-report-react.md b/.api-reports/api-report-react.md
index a0c6572fe2e..c695431d154 100644
--- a/.api-reports/api-report-react.md
+++ b/.api-reports/api-report-react.md
@@ -1368,19 +1368,19 @@ class ObservableQuery<TData = any, TVariables extends OperationVariables = Opera
 
 // @public (undocumented)
 export interface ObservableQueryFields<TData, TVariables extends OperationVariables> {
-    fetchMore<TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
+    fetchMore: <TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
         updateQuery?: (previousQueryResult: TData, options: {
             fetchMoreResult: TFetchData;
             variables: TFetchVars;
         }) => TData;
-    }): Promise<ApolloQueryResult<TFetchData>>;
-    refetch(variables?: Partial<TVariables>): Promise<ApolloQueryResult<TData>>;
+    }) => Promise<ApolloQueryResult<TFetchData>>;
+    refetch: (variables?: Partial<TVariables>) => Promise<ApolloQueryResult<TData>>;
     // @internal (undocumented)
-    reobserve(newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus): Promise<ApolloQueryResult<TData>>;
-    startPolling(pollInterval: number): void;
-    stopPolling(): void;
-    subscribeToMore<TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>): () => void;
-    updateQuery<TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData): void;
+    reobserve: (newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus) => Promise<ApolloQueryResult<TData>>;
+    startPolling: (pollInterval: number) => void;
+    stopPolling: () => void;
+    subscribeToMore: <TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>) => () => void;
+    updateQuery: <TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData) => void;
     variables: TVariables | undefined;
 }
 
diff --git a/.api-reports/api-report-react_components.md b/.api-reports/api-report-react_components.md
index e567f4b2cec..6b3d3fca46c 100644
--- a/.api-reports/api-report-react_components.md
+++ b/.api-reports/api-report-react_components.md
@@ -1144,19 +1144,19 @@ class ObservableQuery<TData = any, TVariables extends OperationVariables = Opera
 
 // @public (undocumented)
 interface ObservableQueryFields<TData, TVariables extends OperationVariables> {
-    fetchMore<TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
+    fetchMore: <TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
         updateQuery?: (previousQueryResult: TData, options: {
             fetchMoreResult: TFetchData;
             variables: TFetchVars;
         }) => TData;
-    }): Promise<ApolloQueryResult<TFetchData>>;
-    refetch(variables?: Partial<TVariables>): Promise<ApolloQueryResult<TData>>;
+    }) => Promise<ApolloQueryResult<TFetchData>>;
+    refetch: (variables?: Partial<TVariables>) => Promise<ApolloQueryResult<TData>>;
     // @internal (undocumented)
-    reobserve(newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus): Promise<ApolloQueryResult<TData>>;
-    startPolling(pollInterval: number): void;
-    stopPolling(): void;
-    subscribeToMore<TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>): () => void;
-    updateQuery<TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData): void;
+    reobserve: (newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus) => Promise<ApolloQueryResult<TData>>;
+    startPolling: (pollInterval: number) => void;
+    stopPolling: () => void;
+    subscribeToMore: <TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>) => () => void;
+    updateQuery: <TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData) => void;
     variables: TVariables | undefined;
 }
 
diff --git a/.api-reports/api-report-react_context.md b/.api-reports/api-report-react_context.md
index 02bd085dccf..3d8e53adb6c 100644
--- a/.api-reports/api-report-react_context.md
+++ b/.api-reports/api-report-react_context.md
@@ -1101,19 +1101,19 @@ class ObservableQuery<TData = any, TVariables extends OperationVariables = Opera
 
 // @public (undocumented)
 interface ObservableQueryFields<TData, TVariables extends OperationVariables> {
-    fetchMore<TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
+    fetchMore: <TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
         updateQuery?: (previousQueryResult: TData, options: {
             fetchMoreResult: TFetchData;
             variables: TFetchVars;
         }) => TData;
-    }): Promise<ApolloQueryResult<TFetchData>>;
-    refetch(variables?: Partial<TVariables>): Promise<ApolloQueryResult<TData>>;
+    }) => Promise<ApolloQueryResult<TFetchData>>;
+    refetch: (variables?: Partial<TVariables>) => Promise<ApolloQueryResult<TData>>;
     // @internal (undocumented)
-    reobserve(newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus): Promise<ApolloQueryResult<TData>>;
-    startPolling(pollInterval: number): void;
-    stopPolling(): void;
-    subscribeToMore<TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>): () => void;
-    updateQuery<TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData): void;
+    reobserve: (newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus) => Promise<ApolloQueryResult<TData>>;
+    startPolling: (pollInterval: number) => void;
+    stopPolling: () => void;
+    subscribeToMore: <TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>) => () => void;
+    updateQuery: <TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData) => void;
     variables: TVariables | undefined;
 }
 
diff --git a/.api-reports/api-report-react_hooks.md b/.api-reports/api-report-react_hooks.md
index 20ef6e04d01..e1b188c020b 100644
--- a/.api-reports/api-report-react_hooks.md
+++ b/.api-reports/api-report-react_hooks.md
@@ -1313,19 +1313,19 @@ class ObservableQuery<TData = any, TVariables extends OperationVariables = Opera
 
 // @public (undocumented)
 interface ObservableQueryFields<TData, TVariables extends OperationVariables> {
-    fetchMore<TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
+    fetchMore: <TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
         updateQuery?: (previousQueryResult: TData, options: {
             fetchMoreResult: TFetchData;
             variables: TFetchVars;
         }) => TData;
-    }): Promise<ApolloQueryResult<TFetchData>>;
-    refetch(variables?: Partial<TVariables>): Promise<ApolloQueryResult<TData>>;
+    }) => Promise<ApolloQueryResult<TFetchData>>;
+    refetch: (variables?: Partial<TVariables>) => Promise<ApolloQueryResult<TData>>;
     // @internal (undocumented)
-    reobserve(newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus): Promise<ApolloQueryResult<TData>>;
-    startPolling(pollInterval: number): void;
-    stopPolling(): void;
-    subscribeToMore<TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>): () => void;
-    updateQuery<TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData): void;
+    reobserve: (newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus) => Promise<ApolloQueryResult<TData>>;
+    startPolling: (pollInterval: number) => void;
+    stopPolling: () => void;
+    subscribeToMore: <TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>) => () => void;
+    updateQuery: <TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData) => void;
     variables: TVariables | undefined;
 }
 
diff --git a/.api-reports/api-report-react_ssr.md b/.api-reports/api-report-react_ssr.md
index 477152f332d..4bda11ff938 100644
--- a/.api-reports/api-report-react_ssr.md
+++ b/.api-reports/api-report-react_ssr.md
@@ -1086,19 +1086,19 @@ class ObservableQuery<TData = any, TVariables extends OperationVariables = Opera
 
 // @public (undocumented)
 interface ObservableQueryFields<TData, TVariables extends OperationVariables> {
-    fetchMore<TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
+    fetchMore: <TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
         updateQuery?: (previousQueryResult: TData, options: {
             fetchMoreResult: TFetchData;
             variables: TFetchVars;
         }) => TData;
-    }): Promise<ApolloQueryResult<TFetchData>>;
-    refetch(variables?: Partial<TVariables>): Promise<ApolloQueryResult<TData>>;
+    }) => Promise<ApolloQueryResult<TFetchData>>;
+    refetch: (variables?: Partial<TVariables>) => Promise<ApolloQueryResult<TData>>;
     // @internal (undocumented)
-    reobserve(newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus): Promise<ApolloQueryResult<TData>>;
-    startPolling(pollInterval: number): void;
-    stopPolling(): void;
-    subscribeToMore<TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>): () => void;
-    updateQuery<TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData): void;
+    reobserve: (newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus) => Promise<ApolloQueryResult<TData>>;
+    startPolling: (pollInterval: number) => void;
+    stopPolling: () => void;
+    subscribeToMore: <TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>) => () => void;
+    updateQuery: <TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData) => void;
     variables: TVariables | undefined;
 }
 
diff --git a/.api-reports/api-report.md b/.api-reports/api-report.md
index 515845e2a26..8774f31d096 100644
--- a/.api-reports/api-report.md
+++ b/.api-reports/api-report.md
@@ -1860,19 +1860,19 @@ export class ObservableQuery<TData = any, TVariables extends OperationVariables
 
 // @public (undocumented)
 export interface ObservableQueryFields<TData, TVariables extends OperationVariables> {
-    fetchMore<TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
+    fetchMore: <TFetchData = TData, TFetchVars extends OperationVariables = TVariables>(fetchMoreOptions: FetchMoreQueryOptions<TFetchVars, TFetchData> & {
         updateQuery?: (previousQueryResult: TData, options: {
             fetchMoreResult: TFetchData;
             variables: TFetchVars;
         }) => TData;
-    }): Promise<ApolloQueryResult<TFetchData>>;
-    refetch(variables?: Partial<TVariables>): Promise<ApolloQueryResult<TData>>;
+    }) => Promise<ApolloQueryResult<TFetchData>>;
+    refetch: (variables?: Partial<TVariables>) => Promise<ApolloQueryResult<TData>>;
     // @internal (undocumented)
-    reobserve(newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus): Promise<ApolloQueryResult<TData>>;
-    startPolling(pollInterval: number): void;
-    stopPolling(): void;
-    subscribeToMore<TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>): () => void;
-    updateQuery<TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData): void;
+    reobserve: (newOptions?: Partial<WatchQueryOptions<TVariables, TData>>, newNetworkStatus?: NetworkStatus) => Promise<ApolloQueryResult<TData>>;
+    startPolling: (pollInterval: number) => void;
+    stopPolling: () => void;
+    subscribeToMore: <TSubscriptionData = TData, TSubscriptionVariables extends OperationVariables = TVariables>(options: SubscribeToMoreOptions<TData, TSubscriptionVariables, TSubscriptionData>) => () => void;
+    updateQuery: <TVars extends OperationVariables = TVariables>(mapFn: (previousQueryResult: TData, options: Pick<WatchQueryOptions<TVars, TData>, "variables">) => TData) => void;
     variables: TVariables | undefined;
 }
 
diff --git a/.changeset/forty-rice-taste.md b/.changeset/forty-rice-taste.md
new file mode 100644
index 00000000000..a7017ce8f7e
--- /dev/null
+++ b/.changeset/forty-rice-taste.md
@@ -0,0 +1,5 @@
+---
+"@apollo/client": patch
+---
+
+Fix [`unbound-method`](https://github.com/apollographql/apollo-client/issues/11554) linter error on ObservableQuery methods exposed on useQuery's QueryResult object.
diff --git a/src/react/types/types.ts b/src/react/types/types.ts
index 785c2ed793b..0c842c6863e 100644
--- a/src/react/types/types.ts
+++ b/src/react/types/types.ts
@@ -81,11 +81,11 @@ export interface ObservableQueryFields<
   TVariables extends OperationVariables,
 > {
   /** {@inheritDoc @apollo/client!QueryResultDocumentation#startPolling:member} */
-  startPolling(pollInterval: number): void;
+  startPolling: (pollInterval: number) => void;
   /** {@inheritDoc @apollo/client!QueryResultDocumentation#stopPolling:member} */
-  stopPolling(): void;
+  stopPolling: () => void;
   /** {@inheritDoc @apollo/client!QueryResultDocumentation#subscribeToMore:member} */
-  subscribeToMore<
+  subscribeToMore: <
     TSubscriptionData = TData,
     TSubscriptionVariables extends OperationVariables = TVariables,
   >(
@@ -94,25 +94,27 @@ export interface ObservableQueryFields<
       TSubscriptionVariables,
       TSubscriptionData
     >
-  ): () => void;
+  ) => () => void;
   /** {@inheritDoc @apollo/client!QueryResultDocumentation#updateQuery:member} */
-  updateQuery<TVars extends OperationVariables = TVariables>(
+  updateQuery: <TVars extends OperationVariables = TVariables>(
     mapFn: (
       previousQueryResult: TData,
       options: Pick<WatchQueryOptions<TVars, TData>, "variables">
     ) => TData
-  ): void;
+  ) => void;
   /** {@inheritDoc @apollo/client!QueryResultDocumentation#refetch:member} */
-  refetch(variables?: Partial<TVariables>): Promise<ApolloQueryResult<TData>>;
+  refetch: (
+    variables?: Partial<TVariables>
+  ) => Promise<ApolloQueryResult<TData>>;
   /** @internal */
-  reobserve(
+  reobserve: (
     newOptions?: Partial<WatchQueryOptions<TVariables, TData>>,
     newNetworkStatus?: NetworkStatus
-  ): Promise<ApolloQueryResult<TData>>;
+  ) => Promise<ApolloQueryResult<TData>>;
   /** {@inheritDoc @apollo/client!QueryResultDocumentation#variables:member} */
   variables: TVariables | undefined;
   /** {@inheritDoc @apollo/client!QueryResultDocumentation#fetchMore:member} */
-  fetchMore<
+  fetchMore: <
     TFetchData = TData,
     TFetchVars extends OperationVariables = TVariables,
   >(
@@ -125,7 +127,7 @@ export interface ObservableQueryFields<
         }
       ) => TData;
     }
-  ): Promise<ApolloQueryResult<TFetchData>>;
+  ) => Promise<ApolloQueryResult<TFetchData>>;
 }
 
 export interface QueryResult<