diff --git a/mercurial/changegroup.py b/mercurial/changegroup.py
--- a/mercurial/changegroup.py
+++ b/mercurial/changegroup.py
@@ -770,6 +770,8 @@
         progress(msgbundling, None)
 
     def deltaparent(self, revlog, rev, p1, p2, prev):
+        if not revlog.candelta(prev, rev):
+            raise error.ProgrammingError('cg1 should not be used in this case')
         return prev
 
     def revchunk(self, revlog, rev, prev, linknode):
@@ -829,16 +831,19 @@
             # expensive. The revlog caches should have prev cached, meaning
             # less CPU for changegroup generation. There is likely room to add
             # a flag and/or config option to control this behavior.
-            return prev
+            base = prev
         elif dp == nullrev:
             # revlog is configured to use full snapshot for a reason,
             # stick to full snapshot.
-            return nullrev
+            base = nullrev
         elif dp not in (p1, p2, prev):
             # Pick prev when we can't be sure remote has the base revision.
             return prev
         else:
-            return dp
+            base = dp
+        if base != nullrev and not revlog.candelta(base, rev):
+            base = nullrev
+        return base
 
     def builddeltaheader(self, node, p1n, p2n, basenode, linknode, flags):
         # Do nothing with flags, it is implicitly 0 in cg1 and cg2
diff --git a/mercurial/revlog.py b/mercurial/revlog.py
--- a/mercurial/revlog.py
+++ b/mercurial/revlog.py
@@ -713,6 +713,13 @@
         except KeyError:
             return False
 
+    def candelta(self, baserev, rev):
+        """whether two revisions (prev, rev) can be delta-ed or not"""
+        # disable delta if either rev uses non-default flag (ex. LFS)
+        if self.flags(baserev) or self.flags(rev):
+            return False
+        return True
+
     def clearcaches(self):
         self._cache = None
         self._chainbasecache.clear()
diff --git a/tests/test-lfs-bundle.t b/tests/test-lfs-bundle.t
--- a/tests/test-lfs-bundle.t
+++ b/tests/test-lfs-bundle.t
@@ -95,6 +95,6 @@
   2 integrity errors encountered!
   (first damaged changeset appears to be 2)
   ---- Applying src-lfs.bundle to dst-normal ----
-  CRASHED
+  OK
   ---- Applying src-lfs.bundle to dst-lfs ----
   OK
diff --git a/tests/test-lfs.t b/tests/test-lfs.t
--- a/tests/test-lfs.t
+++ b/tests/test-lfs.t
@@ -349,7 +349,7 @@
   uncompressed size of bundle content:
        * (changelog) (glob)
        * (manifests) (glob)
-       *  a (glob)
+      * a (glob)
   $ hg --config extensions.strip= strip -r 2 --no-backup --force -q
   $ hg -R bundle.hg log -p -T '{rev} {desc}\n' a
   5 branching