diff --git a/redis/src/cluster_async/mod.rs b/redis/src/cluster_async/mod.rs
index 3009c99b3..16ba80e50 100644
--- a/redis/src/cluster_async/mod.rs
+++ b/redis/src/cluster_async/mod.rs
@@ -28,6 +28,17 @@ mod connections_logic;
 pub mod testing {
     pub use super::connections_logic::*;
 }
+use crate::{
+    cluster_slotmap::SlotMap,
+    cluster_topology::SLOT_SIZE,
+    cmd,
+    commands::cluster_scan::{cluster_scan, ClusterScanArgs, ObjectType, ScanStateRC},
+    FromRedisValue, InfoDict,
+};
+#[cfg(all(not(feature = "tokio-comp"), feature = "async-std-comp"))]
+use async_std::task::{spawn, JoinHandle};
+#[cfg(all(not(feature = "tokio-comp"), feature = "async-std-comp"))]
+use futures::executor::block_on;
 use std::{
     collections::{HashMap, HashSet},
     fmt, io, mem,
@@ -40,14 +51,8 @@ use std::{
     task::{self, Poll},
     time::SystemTime,
 };
-
-use crate::{
-    cluster_slotmap::SlotMap,
-    cluster_topology::SLOT_SIZE,
-    cmd,
-    commands::cluster_scan::{cluster_scan, ClusterScanArgs, ObjectType, ScanStateRC},
-    FromRedisValue, InfoDict,
-};
+#[cfg(feature = "tokio-comp")]
+use tokio::task::JoinHandle;
 
 use crate::{
     aio::{get_socket_addrs, ConnectionLike, MultiplexedConnection, Runtime},
@@ -88,7 +93,6 @@ use backoff_tokio::{Error as BackoffError, ExponentialBackoff};
 use dispose::{Disposable, Dispose};
 use futures::{future::BoxFuture, prelude::*, ready};
 use pin_project_lite::pin_project;
-use std::sync::atomic::AtomicBool;
 use tokio::sync::{
     mpsc,
     oneshot::{self, Receiver},
@@ -393,13 +397,18 @@ pub(crate) struct ClusterConnInner<C> {
     #[allow(clippy::complexity)]
     in_flight_requests: stream::FuturesUnordered<Pin<Box<Request<C>>>>,
     refresh_error: Option<RedisError>,
-    // A flag indicating the connection's closure and the requirement to shut down all related tasks.
-    shutdown_flag: Arc<AtomicBool>,
+    // Handler of the periodic check task.
+    periodic_checks_handler: Option<JoinHandle<()>>,
 }
 
 impl<C> Dispose for ClusterConnInner<C> {
     fn dispose(self) {
-        self.shutdown_flag.store(true, Ordering::Relaxed);
+        if let Some(handle) = self.periodic_checks_handler {
+            #[cfg(all(not(feature = "tokio-comp"), feature = "async-std-comp"))]
+            block_on(handle.cancel());
+            #[cfg(feature = "tokio-comp")]
+            handle.abort()
+        }
     }
 }
 
@@ -913,13 +922,12 @@ where
             ),
             subscriptions_by_address: RwLock::new(Default::default()),
         });
-        let shutdown_flag = Arc::new(AtomicBool::new(false));
-        let connection = ClusterConnInner {
+        let mut connection = ClusterConnInner {
             inner,
             in_flight_requests: Default::default(),
             refresh_error: None,
             state: ConnectionState::PollComplete,
-            shutdown_flag: shutdown_flag.clone(),
+            periodic_checks_handler: None,
         };
         Self::refresh_slots_and_subscriptions_with_retries(
             connection.inner.clone(),
@@ -928,15 +936,16 @@ where
         .await?;
 
         if let Some(duration) = topology_checks_interval {
-            let periodic_task = ClusterConnInner::periodic_topology_check(
-                connection.inner.clone(),
-                duration,
-                shutdown_flag,
-            );
+            let periodic_task =
+                ClusterConnInner::periodic_topology_check(connection.inner.clone(), duration);
             #[cfg(feature = "tokio-comp")]
-            tokio::spawn(periodic_task);
+            {
+                connection.periodic_checks_handler = Some(tokio::spawn(periodic_task));
+            }
             #[cfg(all(not(feature = "tokio-comp"), feature = "async-std-comp"))]
-            AsyncStd::spawn(periodic_task);
+            {
+                connection.periodic_checks_handler = Some(spawn(periodic_task));
+            }
         }
 
         Ok(Disposable::new(connection))
@@ -1307,15 +1316,8 @@ where
         topology_changed
     }
 
-    async fn periodic_topology_check(
-        inner: Arc<InnerCore<C>>,
-        interval_duration: Duration,
-        shutdown_flag: Arc<AtomicBool>,
-    ) {
+    async fn periodic_topology_check(inner: Arc<InnerCore<C>>, interval_duration: Duration) {
         loop {
-            if shutdown_flag.load(Ordering::Relaxed) {
-                return;
-            }
             let _ = boxed_sleep(interval_duration).await;
             let topology_changed =
                 Self::check_topology_and_refresh_if_diff(inner.clone(), &RefreshPolicy::Throttable)