diff --git a/packages/nuxt/src/app/composables/cookie.ts b/packages/nuxt/src/app/composables/cookie.ts
index 16d703b52a..be545fd861 100644
--- a/packages/nuxt/src/app/composables/cookie.ts
+++ b/packages/nuxt/src/app/composables/cookie.ts
@@ -35,8 +35,6 @@ export function useCookie<T = string | null | undefined> (name: string, _opts?:
 
   if (import.meta.client) {
     const channel = typeof BroadcastChannel === 'undefined' ? null : new BroadcastChannel(`nuxt:cookies:${name}`)
-    if (getCurrentScope()) { onScopeDispose(() => { channel?.close() }) }
-
     const callback = () => {
       writeClientCookie(name, cookie.value, opts as CookieSerializeOptions)
       channel?.postMessage(opts.encode(cookie.value as T))
@@ -44,6 +42,14 @@ export function useCookie<T = string | null | undefined> (name: string, _opts?:
 
     let watchPaused = false
 
+    if (getCurrentScope()) {
+      onScopeDispose(() => {
+        watchPaused = true
+        callback()
+        channel?.close()
+      })
+    }
+
     if (channel) {
       channel.onmessage = (event) => {
         watchPaused = true