diff --git a/fsspec/implementations/dirfs.py b/fsspec/implementations/dirfs.py
index a94445280..c0623b82f 100644
--- a/fsspec/implementations/dirfs.py
+++ b/fsspec/implementations/dirfs.py
@@ -231,10 +231,16 @@ def exists(self, path):
         return self.fs.exists(self._join(path))
 
     async def _info(self, path, **kwargs):
-        return await self.fs._info(self._join(path), **kwargs)
+        info = await self.fs._info(self._join(path), **kwargs)
+        info = info.copy()
+        info["name"] = self._relpath(info["name"])
+        return info
 
     def info(self, path, **kwargs):
-        return self.fs.info(self._join(path), **kwargs)
+        info = self.fs.info(self._join(path), **kwargs)
+        info = info.copy()
+        info["name"] = self._relpath(info["name"])
+        return info
 
     async def _ls(self, path, detail=True, **kwargs):
         ret = (await self.fs._ls(self._join(path), detail=detail, **kwargs)).copy()
diff --git a/fsspec/implementations/tests/test_dirfs.py b/fsspec/implementations/tests/test_dirfs.py
index 46ddd0c1a..f58969406 100644
--- a/fsspec/implementations/tests/test_dirfs.py
+++ b/fsspec/implementations/tests/test_dirfs.py
@@ -327,12 +327,14 @@ def test_exists(dirfs):
 
 @pytest.mark.asyncio
 async def test_async_info(adirfs):
-    assert await adirfs._info("file", **KWARGS) == adirfs.fs._info.return_value
+    adirfs.fs._info.return_value = {"name": f"{PATH}/file", "foo": "bar"}
+    assert await adirfs._info("file", **KWARGS) == {"name": "file", "foo": "bar"}
     adirfs.fs._info.assert_called_once_with(f"{PATH}/file", **KWARGS)
 
 
 def test_info(dirfs):
-    assert dirfs.info("file", **KWARGS) == dirfs.fs.info.return_value
+    dirfs.fs.info.return_value = {"name": f"{PATH}/file", "foo": "bar"}
+    assert dirfs.info("file", **KWARGS) == {"name": "file", "foo": "bar"}
     dirfs.fs.info.assert_called_once_with(f"{PATH}/file", **KWARGS)