diff --git a/.github/workflows/tests.yml b/.github/workflows/tests.yml
index 57b25ee2..84a9aa4e 100644
--- a/.github/workflows/tests.yml
+++ b/.github/workflows/tests.yml
@@ -4,9 +4,15 @@ on:
     paths:
       - "package/**"
       - "integration-test/**"
+  pull_request:
+    paths:
+      - "package/**"
+      - "integration-test/**"
   workflow_dispatch:
 jobs:
   test:
+    name: Run unit tests
+    if: github.event_name != 'pull_request' || github.event.pull_request.head.repo.full_name != github.event.pull_request.base.repo.full_name
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v3
@@ -18,6 +24,7 @@ jobs:
       - run: yarn workspace @apollo/experimental-nextjs-app-support run test > $GITHUB_STEP_SUMMARY
   tests_playwright:
     name: Run Playwright tests
+    if: github.event_name != 'pull_request' || github.event.pull_request.head.repo.full_name != github.event.pull_request.base.repo.full_name
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v3
diff --git a/package/package.json b/package/package.json
index a4bd9bff..54a2f23c 100644
--- a/package/package.json
+++ b/package/package.json
@@ -1,6 +1,6 @@
 {
   "name": "@apollo/experimental-nextjs-app-support",
-  "version": "0.4.1",
+  "version": "0.4.3",
   "repository": {
     "url": "git+https://github.com/apollographql/apollo-client-nextjs"
   },
@@ -64,6 +64,7 @@
     "react": "^18"
   },
   "dependencies": {
+    "server-only": "^0.0.1",
     "superjson": "^1.12.2",
     "ts-invariant": "^0.10.3"
   }
diff --git a/package/src/rsc/registerApolloClient.tsx b/package/src/rsc/registerApolloClient.tsx
index 1051053e..65e717fc 100644
--- a/package/src/rsc/registerApolloClient.tsx
+++ b/package/src/rsc/registerApolloClient.tsx
@@ -1,18 +1,9 @@
+import "server-only";
+
 import type { ApolloClient } from "@apollo/client";
 import * as React from "react";
 
-function assertRSC(
-  reactImport: typeof import("react")
-): asserts reactImport is typeof import("react") & { cache<T>(x: () => T): T } {
-  if ("createContext" in React) {
-    throw new Error(
-      "`registerApolloClient` should only be used in a React Server Component context - in Client Components, use the `ApolloNextAppProvider`!"
-    );
-  }
-}
-
 export function registerApolloClient(makeClient: () => ApolloClient<any>) {
-  assertRSC(React);
   const getClient = React.cache(makeClient);
   return {
     getClient,
diff --git a/package/src/ssr/NextSSRApolloClient.tsx b/package/src/ssr/NextSSRApolloClient.tsx
index 3a10b677..69fdc4aa 100644
--- a/package/src/ssr/NextSSRApolloClient.tsx
+++ b/package/src/ssr/NextSSRApolloClient.tsx
@@ -124,6 +124,7 @@ export class NextSSRApolloClient<
                 );
               });
 
+              promise.finally(cleanup);
               byVariables.set(
                 varJson,
                 (observable = new Observable<FetchResult>((observer) => {
@@ -134,8 +135,7 @@ export class NextSSRApolloClient<
                     })
                     .catch((err) => {
                       observer.error(err);
-                    })
-                    .finally(cleanup);
+                    });
                 }))
               );
 
diff --git a/yarn.lock b/yarn.lock
index f1f27b31..3498a7fd 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -126,6 +126,7 @@ __metadata:
     next: ^13.4.4
     react: ^18.2.0
     rimraf: ^5.0.0
+    server-only: ^0.0.1
     superjson: ^1.12.2
     ts-invariant: ^0.10.3
     ts-node: ^10.9.1