diff --git a/cmd/compose/cp.go b/cmd/compose/cp.go
index 9cd07e5f7..bd6281fc8 100644
--- a/cmd/compose/cp.go
+++ b/cmd/compose/cp.go
@@ -66,9 +66,7 @@ func copyCommand(p *ProjectOptions, dockerCli command.Cli, backend api.Service)
 
 	flags := copyCmd.Flags()
 	flags.IntVar(&opts.index, "index", 0, "Index of the container if service has multiple replicas")
-	flags.BoolVar(&opts.all, "all", false, "Copy to all the containers of the service")
-	flags.MarkHidden("all")                                                                                                     //nolint:errcheck
-	flags.MarkDeprecated("all", "By default all the containers of the service will get the source file/directory to be copied") //nolint:errcheck
+	flags.BoolVar(&opts.all, "all", false, "Include containers created by the run command")
 	flags.BoolVarP(&opts.followLink, "follow-link", "L", false, "Always follow symbol link in SRC_PATH")
 	flags.BoolVarP(&opts.copyUIDGID, "archive", "a", false, "Archive mode (copy all uid/gid information)")
 
diff --git a/docs/reference/compose_cp.md b/docs/reference/compose_cp.md
index 9ed14140e..0886bbd9f 100644
--- a/docs/reference/compose_cp.md
+++ b/docs/reference/compose_cp.md
@@ -7,6 +7,7 @@ Copy files/folders between a service container and the local filesystem
 
 | Name                  | Type   | Default | Description                                             |
 |:----------------------|:-------|:--------|:--------------------------------------------------------|
+| `--all`               | `bool` |         | Include containers created by the run command           |
 | `-a`, `--archive`     | `bool` |         | Archive mode (copy all uid/gid information)             |
 | `--dry-run`           | `bool` |         | Execute command in dry run mode                         |
 | `-L`, `--follow-link` | `bool` |         | Always follow symbol link in SRC_PATH                   |
diff --git a/docs/reference/docker_compose_cp.yaml b/docs/reference/docker_compose_cp.yaml
index 8ff3cf37e..24f6aec87 100644
--- a/docs/reference/docker_compose_cp.yaml
+++ b/docs/reference/docker_compose_cp.yaml
@@ -10,9 +10,9 @@ options:
     - option: all
       value_type: bool
       default_value: "false"
-      description: Copy to all the containers of the service
-      deprecated: true
-      hidden: true
+      description: Include containers created by the run command
+      deprecated: false
+      hidden: false
       experimental: false
       experimentalcli: false
       kubernetes: false
diff --git a/pkg/compose/cp.go b/pkg/compose/cp.go
index 107af78dd..f65e79196 100644
--- a/pkg/compose/cp.go
+++ b/pkg/compose/cp.go
@@ -61,11 +61,6 @@ func (s *composeService) copy(ctx context.Context, projectName string, options a
 		direction |= fromService
 		serviceName = srcService
 		copyFunc = s.copyFromContainer
-
-		// copying from multiple containers of a services doesn't make sense.
-		if options.All {
-			return errors.New("cannot use the --all flag when copying from a service")
-		}
 	}
 	if destService != "" {
 		direction |= toService
@@ -80,7 +75,7 @@ func (s *composeService) copy(ctx context.Context, projectName string, options a
 		return errors.New("unknown copy direction")
 	}
 
-	containers, err := s.listContainersTargetedForCopy(ctx, projectName, options.Index, direction, serviceName)
+	containers, err := s.listContainersTargetedForCopy(ctx, projectName, options, direction, serviceName)
 	if err != nil {
 		return err
 	}
@@ -119,18 +114,22 @@ func (s *composeService) copy(ctx context.Context, projectName string, options a
 	return g.Wait()
 }
 
-func (s *composeService) listContainersTargetedForCopy(ctx context.Context, projectName string, index int, direction copyDirection, serviceName string) (Containers, error) {
+func (s *composeService) listContainersTargetedForCopy(ctx context.Context, projectName string, options api.CopyOptions, direction copyDirection, serviceName string) (Containers, error) {
 	var containers Containers
 	var err error
 	switch {
-	case index > 0:
-		ctr, err := s.getSpecifiedContainer(ctx, projectName, oneOffExclude, true, serviceName, index)
+	case options.Index > 0:
+		ctr, err := s.getSpecifiedContainer(ctx, projectName, oneOffExclude, true, serviceName, options.Index)
 		if err != nil {
 			return nil, err
 		}
 		return append(containers, ctr), nil
 	default:
-		containers, err = s.getContainers(ctx, projectName, oneOffExclude, true, serviceName)
+		withOneOff := oneOffExclude
+		if options.All {
+			withOneOff = oneOffInclude
+		}
+		containers, err = s.getContainers(ctx, projectName, withOneOff, true, serviceName)
 		if err != nil {
 			return nil, err
 		}