diff --git a/local/compose/run.go b/local/compose/run.go
index 2c7b1e6d1..804174693 100644
--- a/local/compose/run.go
+++ b/local/compose/run.go
@@ -19,13 +19,15 @@ package compose
 import (
 	"context"
 	"fmt"
-	"io"
 	"os"
 
 	"github.com/compose-spec/compose-go/types"
 	"github.com/docker/compose-cli/api/compose"
-	convert "github.com/docker/compose-cli/local/moby"
+	"github.com/docker/compose-cli/utils"
 	apitypes "github.com/docker/docker/api/types"
+	"github.com/docker/docker/api/types/filters"
+	"golang.org/x/sync/errgroup"
+
 	moby "github.com/docker/docker/pkg/stringid"
 )
 
@@ -65,52 +67,33 @@ func (s *composeService) RunOneOffContainer(ctx context.Context, project *types.
 		return containerID, s.apiClient.ContainerStart(ctx, containerID, apitypes.ContainerStartOptions{})
 	}
 
-	cnx, err := s.apiClient.ContainerAttach(ctx, containerID, apitypes.ContainerAttachOptions{
-		Stream: true,
-		Stdin:  true,
-		Stdout: true,
-		Stderr: true,
-		Logs:   true,
+	containers, err := s.apiClient.ContainerList(ctx, apitypes.ContainerListOptions{
+		Filters: filters.NewArgs(
+			projectFilter(project.Name),
+		),
+		All: true,
 	})
 	if err != nil {
-		return containerID, err
+		return "", err
 	}
-	defer cnx.Close()
-
-	stdout := convert.ContainerStdout{HijackedResponse: cnx}
-	stdin := convert.ContainerStdin{HijackedResponse: cnx}
-
-	readChannel := make(chan error, 10)
-	writeChannel := make(chan error, 10)
-
-	go func() {
-		_, err := io.Copy(os.Stdout, cnx.Reader)
-		readChannel <- err
-	}()
-
-	go func() {
-		_, err := io.Copy(stdin, os.Stdin)
-		writeChannel <- err
-	}()
-
-	go func() {
-		<-ctx.Done()
-		stdout.Close() //nolint:errcheck
-		stdin.Close()  //nolint:errcheck
-	}()
-
-	// start container
-	err = s.apiClient.ContainerStart(ctx, containerID, apitypes.ContainerStartOptions{})
-	if err != nil {
-		return containerID, err
-	}
-
-	for {
-		select {
-		case err := <-readChannel:
-			return containerID, err
-		case err := <-writeChannel:
-			return containerID, err
+	var oneoffContainer apitypes.Container
+	for _, container := range containers {
+		if utils.StringContains(container.Names, "/"+containerID) {
+			oneoffContainer = container
 		}
 	}
+	eg := errgroup.Group{}
+	eg.Go(func() error {
+		return s.attachContainerStreams(ctx, oneoffContainer, true, os.Stdin, os.Stdout)
+	})
+	if err != nil {
+		return "", err
+	}
+
+	err = s.apiClient.ContainerStart(ctx, containerID, apitypes.ContainerStartOptions{})
+	if err != nil {
+		return "", err
+	}
+	err = eg.Wait()
+	return containerID, err
 }