diff --git a/pkg/migrate/migrate.go b/pkg/migrate/migrate.go
index 8c07823..4c1373a 100644
--- a/pkg/migrate/migrate.go
+++ b/pkg/migrate/migrate.go
@@ -33,6 +33,8 @@ const desiredReclaimAnnotation = baseAnnotation + "-reclaim"
 // but that would require adding the k8s import overrides to our go.mod
 const IsDefaultStorageClassAnnotation = "storageclass.kubernetes.io/is-default-class"
 
+const pvMigrateContainerName = "pvmigrate"
+
 // Cli uses CLI options to run Migrate
 func Cli() {
 	var sourceSCName string
@@ -240,7 +242,8 @@ func copyOnePVC(ctx context.Context, w *log.Logger, clientset k8sclient.Interfac
 	}
 
 	podLogsReq := clientset.CoreV1().Pods(ns).GetLogs(createdPod.Name, &corev1.PodLogOptions{
-		Follow: true,
+		Container: pvMigrateContainerName,
+		Follow:    true,
 	})
 	podLogs, err := podLogsReq.Stream(ctx)
 	if err != nil {
@@ -330,7 +333,7 @@ func createMigrationPod(ctx context.Context, clientset k8sclient.Interface, ns s
 			},
 			Containers: []corev1.Container{
 				{
-					Name:  "pvmigrate-" + sourcePvcName,
+					Name:  pvMigrateContainerName,
 					Image: rsyncImage,
 					Command: []string{
 						"rsync",
diff --git a/pkg/migrate/migrate_test.go b/pkg/migrate/migrate_test.go
index f3a64b3..622815d 100644
--- a/pkg/migrate/migrate_test.go
+++ b/pkg/migrate/migrate_test.go
@@ -715,7 +715,7 @@ func Test_createMigrationPod(t *testing.T) {
 					},
 					Containers: []corev1.Container{
 						{
-							Name:  "pvmigrate-sourcepvc",
+							Name:  "pvmigrate",
 							Image: "imagename",
 							Command: []string{
 								"rsync",