diff --git a/src/core/mount.c b/src/core/mount.c
index e3d298eb96..419cf27a88 100644
--- a/src/core/mount.c
+++ b/src/core/mount.c
@@ -329,6 +329,12 @@ static bool mount_is_bind(MountParameters *p) {
         if (p->fstype && streq(p->fstype, "bind"))
                 return true;
 
+        if (mount_test_option(p->options, "rbind"))
+                return true;
+
+        if (p->fstype && streq(p->fstype, "rbind"))
+                return true;
+
         return false;
 }
 
diff --git a/src/fstab-generator/fstab-generator.c b/src/fstab-generator/fstab-generator.c
index bfeddedf62..9db4123530 100644
--- a/src/fstab-generator/fstab-generator.c
+++ b/src/fstab-generator/fstab-generator.c
@@ -178,7 +178,9 @@ static bool mount_is_bind(struct mntent *me) {
 
         return
                 hasmntopt(me, "bind") ||
-                streq(me->mnt_type, "bind");
+                streq(me->mnt_type, "bind") ||
+                hasmntopt(me, "rbind") ||
+                streq(me->mnt_type, "rbind");
 }
 
 static bool mount_is_network(struct mntent *me) {