diff --git a/src/testdir/test_partial.vim b/src/testdir/test_partial.vim
index 1e682d5..5b273db 100644
--- a/src/testdir/test_partial.vim
+++ b/src/testdir/test_partial.vim
@@ -63,6 +63,7 @@
 func Test_partial_dict()
   let dict = {'name': 'hello'}
   let Cb = function('MyDictFunc', ["foo", "bar"], dict)
+  call test_garbagecollect_now()
   call assert_equal("hello/foo/bar", Cb())
   call assert_fails('Cb("xxx")', 'E492:')
 
@@ -282,6 +283,7 @@
     let g:ref_job = job_start('echo')
     let d = {'a': 'b'}
     call job_setoptions(g:ref_job, {'exit_cb': function('Ignored2', [], d)})
+    call test_garbagecollect_now()
   endif
 endfunc
 
@@ -391,6 +393,16 @@
   call assert_true(F1 isnot# F2)  " Different functions
   call assert_true(F1 isnot# F1d1)  " Partial /= non-partial
   call assert_true(d1.f1 isnot# d1.f1)  " handle_subscript creates new partial each time
+
+  " compare two null partials
+  let N1 = test_null_partial()
+  let N2 = N1
+  call assert_true(N1 is N2)
+  call assert_true(N1 == N2)
+
+  " compare a partial and a null partial
+  call assert_false(N1 == F1)
+  call assert_false(F1 is N1)
 endfunc
 
 " vim: shiftwidth=2 sts=2 expandtab