diff --git a/mercurial/bundle2.py b/mercurial/bundle2.py
--- a/mercurial/bundle2.py
+++ b/mercurial/bundle2.py
@@ -1750,12 +1750,16 @@ def _addpartsfromopts(ui, repo, bundler,
             part.addparam(
                 b'nbchanges', b'%d' % cg.extras[b'clcount'], mandatory=False
             )
-        if opts.get(b'phases') and repo.revs(
-            b'%ln and secret()', outgoing.ancestorsof
-        ):
-            part.addparam(
-                b'targetphase', b'%d' % phases.secret, mandatory=False
-            )
+        if opts.get(b'phases'):
+            target_phase = phases.draft
+            for head in outgoing.ancestorsof:
+                target_phase = max(target_phase, repo[head].phase())
+            if target_phase > phases.draft:
+                part.addparam(
+                    b'targetphase',
+                    b'%d' % target_phase,
+                    mandatory=False,
+                )
     if repository.REPO_FEATURE_SIDE_DATA in repo.features:
         part.addparam(b'exp-sidedata', b'1')
 
diff --git a/mercurial/phases.py b/mercurial/phases.py
--- a/mercurial/phases.py
+++ b/mercurial/phases.py
@@ -827,10 +827,8 @@ def subsetphaseheads(repo, subset):
     cl = repo.changelog
 
     headsbyphase = {i: [] for i in allphases}
-    # No need to keep track of secret phase; any heads in the subset that
-    # are not mentioned are implicitly secret.
-    for phase in allphases[:secret]:
-        revset = b"heads(%%ln & %s())" % phasenames[phase]
+    for phase in allphases:
+        revset = b"heads(%%ln & _phase(%d))" % phase
         headsbyphase[phase] = [cl.node(r) for r in repo.revs(revset, subset)]
     return headsbyphase
 
diff --git a/tests/test-bundle-phases.t b/tests/test-bundle-phases.t
--- a/tests/test-bundle-phases.t
+++ b/tests/test-bundle-phases.t
@@ -44,6 +44,7 @@ Set up repo with linear history
   cache:rev-branch-cache -- {} (mandatory: False)
   phase-heads -- {} (mandatory: True)
       26805aba1e600a82e93661149f2313866a221a7b draft
+      9bc730a19041f9ec7cb33c626e811aa233efb18c secret
   $ hg strip --no-backup C
 
 Phases show on incoming, and are also restored when pulling.  Secret commits
@@ -374,6 +375,7 @@ Restore bundle of entire repo
   phase-heads -- {} (mandatory: True)
       dc0947a82db884575bb76ea10ac97b08536bfa03 public
       03ca77807e919db8807c3749086dc36fb478cac0 draft
+      4e4f9194f9f181c57f62e823e8bdfa46ab9e4ff4 secret
   $ hg strip --no-backup A
   $ hg unbundle -q bundle
   $ rm bundle
@@ -398,6 +400,7 @@ Restore bundle of entire repo
       4e4f9194f9f181c57f62e823e8bdfa46ab9e4ff4
   cache:rev-branch-cache -- {} (mandatory: False)
   phase-heads -- {} (mandatory: True)
+      4e4f9194f9f181c57f62e823e8bdfa46ab9e4ff4 secret
   $ rm bundle
 
   $ hg bundle --base A -r D bundle
@@ -411,6 +414,7 @@ Restore bundle of entire repo
   cache:rev-branch-cache -- {} (mandatory: False)
   phase-heads -- {} (mandatory: True)
       dc0947a82db884575bb76ea10ac97b08536bfa03 public
+      4e4f9194f9f181c57f62e823e8bdfa46ab9e4ff4 secret
   $ rm bundle
 
   $ hg bundle --base 'B + C' -r 'D + E' bundle
@@ -423,4 +427,5 @@ Restore bundle of entire repo
   cache:rev-branch-cache -- {} (mandatory: False)
   phase-heads -- {} (mandatory: True)
       03ca77807e919db8807c3749086dc36fb478cac0 draft
+      4e4f9194f9f181c57f62e823e8bdfa46ab9e4ff4 secret
   $ rm bundle
diff --git a/tests/test-bundle-type.t b/tests/test-bundle-type.t
--- a/tests/test-bundle-type.t
+++ b/tests/test-bundle-type.t
@@ -383,6 +383,7 @@ unfortunate that the phase information f
       66e2c4b43e0cf8f0bdff0733a0b97ce57874e35d public
       a8c3a1ed30eb71f03f476c5fa7ead831ef991a55 draft
       2ea90778052ba7558fab36e3fd5d149512ff986b draft
+      b9f5f740a8cd76700020e3903ee55ecff78bd3e5 secret
   bzip2-v2;cg.version=03
   
   adding changesets
diff --git a/tests/test-phase-archived.t b/tests/test-phase-archived.t
--- a/tests/test-phase-archived.t
+++ b/tests/test-phase-archived.t
@@ -181,8 +181,6 @@ Strips the other (lower rev-num) head
 The archived changeset should still be hidden
 
   $ hg log -G -T '{rev} {node|short} [{phase}] {desc|firstline}\n'
-  o  2 f90bf4e57854 [draft] some more commit (known-bad-output !)
-  | (known-bad-output !)
   @  1 d1e73e428f29 [draft] unbundletesting
   |
   o  0 c1863a3840c6 [draft] root
@@ -191,8 +189,7 @@ The archived changeset should still be h
 It may still be around:
 
   $ hg log --hidden -G -T '{rev} {node|short} [{phase}] {desc|firstline}\n'
-  o  2 f90bf4e57854 [draft] some more commit (known-bad-output !)
-  o  2 f90bf4e57854 [archived] some more commit (missing-correct-output !)
+  o  2 f90bf4e57854 [archived] some more commit
   |
   @  1 d1e73e428f29 [draft] unbundletesting
   |