diff --git a/go/test/endtoend/vreplication/fk_ext_test.go b/go/test/endtoend/vreplication/fk_ext_test.go
index e17247ab46b..6b3cc17ecc9 100644
--- a/go/test/endtoend/vreplication/fk_ext_test.go
+++ b/go/test/endtoend/vreplication/fk_ext_test.go
@@ -86,7 +86,10 @@ func TestFKExt(t *testing.T) {
 	setSidecarDBName("_vt")
 
 	// Ensure that there are multiple copy phase cycles per table.
-	extraVTTabletArgs = append(extraVTTabletArgs, "--vstream_packet_size=256", "--queryserver-config-schema-change-signal")
+	extraVTTabletArgs = append(extraVTTabletArgs,
+		"--vstream_packet_size=256",
+		"--queryserver-config-schema-change-signal",
+		parallelInsertWorkers)
 	extraVTGateArgs = append(extraVTGateArgs, "--schema_change_signal=true", "--planner-version", "Gen4")
 	defer func() { extraVTTabletArgs = nil }()
 	initFKExtConfig(t)
diff --git a/go/test/endtoend/vreplication/fk_test.go b/go/test/endtoend/vreplication/fk_test.go
index 72cd278002f..f56bb0c290c 100644
--- a/go/test/endtoend/vreplication/fk_test.go
+++ b/go/test/endtoend/vreplication/fk_test.go
@@ -40,6 +40,7 @@ const testWorkflowFlavor = workflowFlavorVtctld
 // It inserts initial data, then simulates load. We insert both child rows with foreign keys and those without,
 // i.e. with foreign_key_checks=0.
 func TestFKWorkflow(t *testing.T) {
+	setSidecarDBName("_vt")
 	extraVTTabletArgs = []string{
 		// Ensure that there are multiple copy phase cycles per table.
 		"--vstream_packet_size=256",
@@ -132,11 +133,14 @@ func TestFKWorkflow(t *testing.T) {
 	vtgateConn, closeConn := getVTGateConn()
 	defer closeConn()
 
-	t11Count := getRowCount(t, vtgateConn, "t11")
-	t12Count := getRowCount(t, vtgateConn, "t12")
-	require.Greater(t, t11Count, 1)
-	require.Greater(t, t12Count, 1)
-	require.Equal(t, t11Count, t12Count)
+	if withLoad {
+		t11Count := getRowCount(t, vtgateConn, "t11")
+		t12Count := getRowCount(t, vtgateConn, "t12")
+		require.Greater(t, t11Count, 1)
+		require.Greater(t, t12Count, 1)
+		require.Equal(t, t11Count, t12Count)
+	}
+
 }
 
 func insertInitialFKData(t *testing.T) {
diff --git a/go/vt/vttablet/tabletmanager/vreplication/vcopier_atomic.go b/go/vt/vttablet/tabletmanager/vreplication/vcopier_atomic.go
index 6e4204c46a5..424996255e2 100644
--- a/go/vt/vttablet/tabletmanager/vreplication/vcopier_atomic.go
+++ b/go/vt/vttablet/tabletmanager/vreplication/vcopier_atomic.go
@@ -86,11 +86,7 @@ func (vc *vcopier) copyAll(ctx context.Context, settings binlogplayer.VRSettings
 	defer rowsCopiedTicker.Stop()
 
 	parallelism := getInsertParallelism()
-	// For now do not support concurrent inserts for atomic copies.
-	if parallelism > 1 {
-		parallelism = 1
-		log.Infof("Disabling concurrent inserts for atomic copies")
-	}
+
 	copyWorkerFactory := vc.newCopyWorkerFactory(parallelism)
 	var copyWorkQueue *vcopierCopyWorkQueue
 
@@ -114,7 +110,6 @@ func (vc *vcopier) copyAll(ctx context.Context, settings binlogplayer.VRSettings
 			resp.TableName, len(resp.Fields), len(resp.Rows), resp.Gtid, resp.Lastpk)
 		tableName := resp.TableName
 		gtid = resp.Gtid
-
 		updateRowsCopied := func() error {
 			updateRowsQuery := binlogplayer.GenerateUpdateRowsCopied(vc.vr.id, vc.vr.stats.CopyRowCount.Get())
 			_, err := vc.vr.dbClient.Execute(updateRowsQuery)
@@ -204,6 +199,10 @@ func (vc *vcopier) copyAll(ctx context.Context, settings binlogplayer.VRSettings
 		log.Infof("copying table %s with lastpk %v", tableName, lastpkbv)
 		// Prepare a vcopierCopyTask for the current batch of work.
 		currCh := make(chan *vcopierCopyTaskResult, 1)
+
+		if parallelism > 1 {
+			resp = resp.CloneVT()
+		}
 		currT := newVCopierCopyTask(newVCopierCopyTaskArgs(resp.Rows, resp.Lastpk))
 
 		// Send result to the global resultCh and currCh. resultCh is used by
@@ -291,12 +290,12 @@ func (vc *vcopier) copyAll(ctx context.Context, settings binlogplayer.VRSettings
 		log.Infof("Copy of %v stopped", state.currentTableName)
 		return fmt.Errorf("CopyAll was interrupted due to context expiration")
 	default:
-		if err := vc.deleteCopyState(state.currentTableName); err != nil {
-			return err
-		}
 		if copyWorkQueue != nil {
 			copyWorkQueue.close()
 		}
+		if err := vc.deleteCopyState(state.currentTableName); err != nil {
+			return err
+		}
 		if err := vc.updatePos(ctx, gtid); err != nil {
 			return err
 		}