diff --git a/src/createBrowserClient.ts b/src/createBrowserClient.ts
index a7ac3bb..536efd0 100644
--- a/src/createBrowserClient.ts
+++ b/src/createBrowserClient.ts
@@ -118,6 +118,8 @@ export function createBrowserClient<
     false,
   );
 
+  const storageKey = options?.auth?.storageKey || options?.cookieOptions?.name;
+
   const client = createClient<Database, SchemaName, Schema>(
     supabaseUrl,
     supabaseKey,
@@ -132,9 +134,7 @@ export function createBrowserClient<
       },
       auth: {
         ...options?.auth,
-        ...(options?.cookieOptions?.name
-          ? { storageKey: options.cookieOptions.name }
-          : null),
+        ...(storageKey ? { storageKey } : null),
         flowType: "pkce",
         autoRefreshToken: isBrowser(),
         detectSessionInUrl: isBrowser(),
diff --git a/src/createServerClient.ts b/src/createServerClient.ts
index c4f3d6a..6aa7e2f 100644
--- a/src/createServerClient.ts
+++ b/src/createServerClient.ts
@@ -149,6 +149,7 @@ export function createServerClient<
       },
       true,
     );
+  const storageKey = options?.auth?.storageKey || options?.cookieOptions?.name;
 
   const client = createClient<Database, SchemaName, Schema>(
     supabaseUrl,
@@ -163,9 +164,7 @@ export function createServerClient<
         },
       },
       auth: {
-        ...(options?.cookieOptions?.name
-          ? { storageKey: options.cookieOptions.name }
-          : null),
+        ...(storageKey ? { storageKey } : null),
         ...options?.auth,
         flowType: "pkce",
         autoRefreshToken: false,