diff --git a/dvc/stage.py b/dvc/stage.py
index cc91c81e0..e8c04fff9 100644
--- a/dvc/stage.py
+++ b/dvc/stage.py
@@ -629,12 +629,16 @@ class Stage(object):
 
     def dumpd(self):
         rel_wdir = relpath(self.wdir, os.path.dirname(self.path))
+
+        wdir = pathlib.PurePath(rel_wdir).as_posix()
+        wdir = wdir if wdir != "." else None
+
         return {
             key: value
             for key, value in {
                 Stage.PARAM_MD5: self.md5,
                 Stage.PARAM_CMD: self.cmd,
-                Stage.PARAM_WDIR: pathlib.PurePath(rel_wdir).as_posix(),
+                Stage.PARAM_WDIR: wdir,
                 Stage.PARAM_LOCKED: self.locked,
                 Stage.PARAM_DEPS: [d.dumpd() for d in self.deps],
                 Stage.PARAM_OUTS: [o.dumpd() for o in self.outs],
diff --git a/tests/func/test_run.py b/tests/func/test_run.py
index 383a4204a..567f30be0 100644
--- a/tests/func/test_run.py
+++ b/tests/func/test_run.py
@@ -560,18 +560,18 @@ class TestCmdRunCliMetrics(TestDvc):
 
 
 class TestCmdRunWorkingDirectory(TestDvc):
-    def test_default_wdir_is_written(self):
+    def test_default_wdir_is_not_written(self):
         stage = self.dvc.run(
             cmd="echo test > {}".format(self.FOO), outs=[self.FOO], wdir="."
         )
         d = load_stage_file(stage.relpath)
-        self.assertEqual(d[Stage.PARAM_WDIR], ".")
+        self.assertNotIn(Stage.PARAM_WDIR, d.keys())
 
         stage = self.dvc.run(
             cmd="echo test > {}".format(self.BAR), outs=[self.BAR]
         )
         d = load_stage_file(stage.relpath)
-        self.assertEqual(d[Stage.PARAM_WDIR], ".")
+        self.assertNotIn(Stage.PARAM_WDIR, d.keys())
 
     def test_fname_changes_path_and_wdir(self):
         dname = "dir"
diff --git a/tests/func/test_stage.py b/tests/func/test_stage.py
index fa18160d8..4d4a92795 100644
--- a/tests/func/test_stage.py
+++ b/tests/func/test_stage.py
@@ -102,16 +102,10 @@ class TestDefaultWorkingDirectory(TestDvc):
         )
 
         d = stage.dumpd()
-        self.assertEqual(d[stage.PARAM_WDIR], ".")
+        self.assertNotIn(Stage.PARAM_WDIR, d.keys())
 
         d = load_stage_file(stage.relpath)
-        self.assertEqual(d[stage.PARAM_WDIR], ".")
-
-        del d[stage.PARAM_WDIR]
-        dump_stage_file(stage.relpath, d)
-
-        d = load_stage_file(stage.relpath)
-        self.assertIsNone(d.get(stage.PARAM_WDIR))
+        self.assertNotIn(Stage.PARAM_WDIR, d.keys())
 
         with self.dvc.state:
             stage = Stage.load(self.dvc, stage.relpath)