diff --git a/pkg/archive/archive.go b/pkg/archive/archive.go
index afb16c7c66..cbcf865323 100644
--- a/pkg/archive/archive.go
+++ b/pkg/archive/archive.go
@@ -1218,6 +1218,9 @@ func cmdStream(cmd *exec.Cmd, input io.Reader) (io.ReadCloser, error) {
 		return nil, err
 	}
 
+	// Ensure the command has exited before we clean anything up
+	done := make(chan struct{})
+
 	// Copy stdout to the returned pipe
 	go func() {
 		if err := cmd.Wait(); err != nil {
@@ -1225,9 +1228,16 @@ func cmdStream(cmd *exec.Cmd, input io.Reader) (io.ReadCloser, error) {
 		} else {
 			pipeW.Close()
 		}
+		close(done)
 	}()
 
-	return pipeR, nil
+	return ioutils.NewReadCloserWrapper(pipeR, func() error {
+		// Close pipeR, and then wait for the command to complete before returning. We have to close pipeR first, as
+		// cmd.Wait waits for any non-file stdout/stderr/stdin to close.
+		err := pipeR.Close()
+		<-done
+		return err
+	}), nil
 }
 
 // NewTempArchive reads the content of src into a temporary file, and returns the contents
diff --git a/pkg/archive/archive_test.go b/pkg/archive/archive_test.go
index b49ad6723e..043853c96c 100644
--- a/pkg/archive/archive_test.go
+++ b/pkg/archive/archive_test.go
@@ -1332,7 +1332,9 @@ func TestPigz(t *testing.T) {
 	_, err := exec.LookPath("unpigz")
 	if err == nil {
 		t.Log("Tested whether Pigz is used, as it installed")
-		assert.Equal(t, reflect.TypeOf(contextReaderCloserWrapper.Reader), reflect.TypeOf(&io.PipeReader{}))
+		// For the command wait wrapper
+		cmdWaitCloserWrapper := contextReaderCloserWrapper.Reader.(*ioutils.ReadCloserWrapper)
+		assert.Equal(t, reflect.TypeOf(cmdWaitCloserWrapper.Reader), reflect.TypeOf(&io.PipeReader{}))
 	} else {
 		t.Log("Tested whether Pigz is not used, as it not installed")
 		assert.Equal(t, reflect.TypeOf(contextReaderCloserWrapper.Reader), reflect.TypeOf(&gzip.Reader{}))