diff --git a/src/ZODB/scripts/tests/test_repozo.py b/src/ZODB/scripts/tests/test_repozo.py
index 902df8cc4..773773ead 100644
--- a/src/ZODB/scripts/tests/test_repozo.py
+++ b/src/ZODB/scripts/tests/test_repozo.py
@@ -1068,7 +1068,10 @@ def test_w_incr_recover_from_incr_backup(self):
             '/backup/2010-05-14-04-05-06.deltafs 3 6 2bb225f0ba9a58930757a868ed57d9a3\n'  # noqa: E501 line too long
             '/backup/2010-05-14-06-07-08.deltafs 6 9 defb99e69a9f1f6e06f15006b1f166ae\n'  # noqa: E501 line too long
             '/backup/2010-05-14-08-09-10.deltafs 9 12 45054f47ac3305a2a33e9bcceadff712\n')  # noqa: E501 line too long
+        os.unlink(os.path.join(self._repository_directory, '2010-05-14-04-05-06.deltafs'))
         self._callFUT(options)
+        self.assertNotIn('falling back to a full recover.',
+                         sys.stderr.getvalue())
         self.assertEqual(_read_file(output), b'AAABBBCCCDDD')
         self.assertFalse(os.path.exists(output + '.part'))
 
@@ -1090,6 +1093,8 @@ def test_w_incr_backup_with_verify_sum_inconsistent(self):
             '/backup/2010-05-14-08-09-10.deltafs 9 12 45054f47ac3305a2a33e9bcceadff712\n')  # noqa: E501 line too long
         from ZODB.scripts.repozo import VerificationFail
         self.assertRaises(VerificationFail, self._callFUT, options)
+        self.assertNotIn('falling back to a full recover.',
+                         sys.stderr.getvalue())
         self.assertTrue(os.path.exists(output + '.part'))
 
     def test_w_incr_backup_with_verify_size_inconsistent_too_small(self):
@@ -1110,6 +1115,8 @@ def test_w_incr_backup_with_verify_size_inconsistent_too_small(self):
             '/backup/2010-05-14-08-09-10.deltafs 9 12 45054f47ac3305a2a33e9bcceadff712\n')  # noqa: E501 line too long
         from ZODB.scripts.repozo import VerificationFail
         self.assertRaises(VerificationFail, self._callFUT, options)
+        self.assertNotIn('falling back to a full recover.',
+                         sys.stderr.getvalue())
         self.assertTrue(os.path.exists(output + '.part'))
 
     def test_w_incr_backup_with_verify_size_inconsistent_too_big(self):
@@ -1130,6 +1137,8 @@ def test_w_incr_backup_with_verify_size_inconsistent_too_big(self):
             '/backup/2010-05-14-08-09-10.deltafs 9 12 45054f47ac3305a2a33e9bcceadff712\n')  # noqa: E501 line too long
         from ZODB.scripts.repozo import VerificationFail
         self.assertRaises(VerificationFail, self._callFUT, options)
+        self.assertNotIn('falling back to a full recover.',
+                         sys.stderr.getvalue())
         self.assertTrue(os.path.exists(output + '.part'))
 
     def test_w_inc_backup_switch_auto_to_full_recover_if_output_larger_than_dat(self):  # noqa: E501 line too long