diff --git a/dvc/stage/__init__.py b/dvc/stage/__init__.py
index cc4ef4864f3..2645d86a69f 100644
--- a/dvc/stage/__init__.py
+++ b/dvc/stage/__init__.py
@@ -591,7 +591,11 @@ def run(
             if kwargs.get("checkpoint_func", None) or no_download:
                 allow_missing = True
 
-            self.save(allow_missing=allow_missing, run_cache=not no_commit)
+            no_cache_outs = any(not out.use_cache for out in self.outs)
+            self.save(
+                allow_missing=allow_missing,
+                run_cache=not no_commit and not no_cache_outs,
+            )
 
             if no_download:
                 self.ignore_outs()
diff --git a/dvc/stage/cache.py b/dvc/stage/cache.py
index 4e01f547a5d..b28836e6447 100644
--- a/dvc/stage/cache.py
+++ b/dvc/stage/cache.py
@@ -130,22 +130,6 @@ def _cache_type_copy(self):
         finally:
             self.repo.odb.local.cache_types = cache_types
 
-    def _uncached_outs(self, stage, cache):
-        # NOTE: using temporary stage to avoid accidentally modifying original
-        # stage and to workaround `commit/checkout` not working for uncached
-        # outputs.
-        cached_stage = self._create_stage(cache, wdir=stage.wdir)
-
-        outs_no_cache = [
-            out.def_path for out in stage.outs if not out.use_cache
-        ]
-
-        # NOTE: using copy link to make it look like a git-tracked file
-        with self._cache_type_copy():
-            for out in cached_stage.outs:
-                if out.def_path in outs_no_cache:
-                    yield out
-
     def save(self, stage):
         from .serialize import to_single_stage_lockfile
 
@@ -159,9 +143,6 @@ def save(self, stage):
         existing_cache = self._load_cache(cache_key, cache_value)
         cache = existing_cache or cache
 
-        for out in self._uncached_outs(stage, cache):
-            out.commit()
-
         if existing_cache:
             return
 
diff --git a/tests/func/test_run_cache.py b/tests/func/test_run_cache.py
index e3973342477..7666b562928 100644
--- a/tests/func/test_run_cache.py
+++ b/tests/func/test_run_cache.py
@@ -1,7 +1,6 @@
 import os
 
 from dvc.dvcfile import PIPELINE_LOCK
-from dvc.utils import relpath
 from dvc.utils.fs import remove
 
 
@@ -65,16 +64,16 @@ def test_do_not_save_on_no_exec_and_dry(tmp_dir, dvc, run_copy):
     assert not dvc.stage_cache._load(stage)
 
 
-def test_uncached_outs_are_cached(tmp_dir, dvc, run_copy):
+def test_no_cache_outs_deactivate_run_cache(tmp_dir, dvc):
     tmp_dir.gen("foo", "foo")
-    stage = dvc.run(
+    dvc.run(
         deps=["foo"],
-        cmd="cp foo bar",
+        cmd="cp foo bar && cp foo goo",
+        outs=["goo"],
         outs_no_cache=["bar"],
         name="copy-foo-bar",
     )
-    stage.outs[0].hash_info = stage.outs[0].get_hash()
-    assert os.path.exists(relpath(stage.outs[0].cache_path))
+    assert not os.path.isdir(dvc.stage_cache.cache_dir)
 
 
 def test_memory_for_multiple_runs_of_same_stage(