diff --git a/dvc/stage/__init__.py b/dvc/stage/__init__.py
index 325c90704..254f18791 100644
--- a/dvc/stage/__init__.py
+++ b/dvc/stage/__init__.py
@@ -273,7 +273,7 @@ class Stage(params.StageParams):
             from dvc.output import Output
             from dvc.schema import LIVE_PROPS
 
-            env[DVCLIVE_PATH] = str(out.path_info)
+            env[DVCLIVE_PATH] = relpath(out.path_info, self.wdir)
             if isinstance(out.live, dict):
                 config = project(out.live, LIVE_PROPS)
 
diff --git a/tests/func/test_live.py b/tests/func/test_live.py
index f6989895f..7cea6939e 100644
--- a/tests/func/test_live.py
+++ b/tests/func/test_live.py
@@ -255,3 +255,22 @@ def test_dvc_generates_html_during_run(tmp_dir, dvc, mocker, live_stage):
     live_stage(summary=True, live="logs", code=script)
 
     assert show_spy.call_count == 2
+
+
+def test_dvclive_stage_with_different_wdir(tmp_dir, scm, dvc):
+    (tmp_dir / "subdir").gen("train.py", LIVE_SCRIPT)
+    (tmp_dir / "subdir" / "params.yaml").dump({"foo": 1})
+    dvc.stage.add(
+        cmd="python train.py",
+        params=["foo"],
+        deps=["train.py"],
+        name="live_stage",
+        live="dvclive",
+        live_no_html=True,
+        wdir="subdir",
+    )
+
+    dvc.reproduce()
+
+    assert (tmp_dir / "subdir" / "dvclive").is_dir()
+    assert (tmp_dir / "subdir" / "dvclive.json").is_file()