diff --git a/daemon/daemon.go b/daemon/daemon.go
index b1e3f88329..be4c12d4e9 100644
--- a/daemon/daemon.go
+++ b/daemon/daemon.go
@@ -48,6 +48,7 @@ import (
 	"github.com/docker/docker/dockerversion"
 	"github.com/docker/docker/errdefs"
 	"github.com/docker/docker/image"
+	"github.com/docker/docker/internal/compatcontext"
 	"github.com/docker/docker/layer"
 	libcontainerdtypes "github.com/docker/docker/libcontainerd/types"
 	"github.com/docker/docker/libnetwork"
@@ -1212,14 +1213,16 @@ func (daemon *Daemon) waitForStartupDone() {
 }
 
 func (daemon *Daemon) shutdownContainer(c *container.Container) error {
+	ctx := compatcontext.WithoutCancel(context.TODO())
+
 	// If container failed to exit in stopTimeout seconds of SIGTERM, then using the force
-	if err := daemon.containerStop(context.TODO(), c, containertypes.StopOptions{}); err != nil {
+	if err := daemon.containerStop(ctx, c, containertypes.StopOptions{}); err != nil {
 		return fmt.Errorf("Failed to stop container %s with error: %v", c.ID, err)
 	}
 
 	// Wait without timeout for the container to exit.
 	// Ignore the result.
-	<-c.Wait(context.Background(), container.WaitConditionNotRunning)
+	<-c.Wait(ctx, container.WaitConditionNotRunning)
 	return nil
 }
 
diff --git a/daemon/stop.go b/daemon/stop.go
index 93d975a3c8..3be13d80fb 100644
--- a/daemon/stop.go
+++ b/daemon/stop.go
@@ -9,6 +9,7 @@ import (
 	"github.com/docker/docker/api/types/events"
 	"github.com/docker/docker/container"
 	"github.com/docker/docker/errdefs"
+	"github.com/docker/docker/internal/compatcontext"
 	"github.com/moby/sys/signal"
 	"github.com/pkg/errors"
 )
@@ -41,13 +42,12 @@ func (daemon *Daemon) ContainerStop(ctx context.Context, name string, options co
 	return nil
 }
 
-// containerStop sends a stop signal, waits, sends a kill signal.
-func (daemon *Daemon) containerStop(_ context.Context, ctr *container.Container, options containertypes.StopOptions) (retErr error) {
-	// Deliberately using a local context here, because cancelling the
-	// request should not cancel the stop.
-	//
-	// TODO(thaJeztah): pass context, and use context.WithoutCancel() once available: https://github.com/golang/go/issues/40221
-	ctx := context.Background()
+// containerStop sends a stop signal, waits, sends a kill signal. It uses
+// a [context.WithoutCancel], so cancelling the context does not cancel
+// the request to stop the container.
+func (daemon *Daemon) containerStop(ctx context.Context, ctr *container.Container, options containertypes.StopOptions) (retErr error) {
+	// Cancelling the request should not cancel the stop.
+	ctx = compatcontext.WithoutCancel(ctx)
 
 	if !ctr.IsRunning() {
 		return nil