diff --git a/src/poetry/console/commands/config.py b/src/poetry/console/commands/config.py
index 8ccc50b938c..ed8cf60811e 100644
--- a/src/poetry/console/commands/config.py
+++ b/src/poetry/console/commands/config.py
@@ -348,6 +348,12 @@ def _migrate(self) -> None:
         from poetry.toml.file import TOMLFile
 
         config_file = TOMLFile(CONFIG_DIR / "config.toml")
+
+        if self.option("local"):
+            config_file = TOMLFile(self.poetry.file.path.parent / "poetry.toml")
+            if not config_file.exists():
+                raise RuntimeError("No local config file found")
+
         config_source = FileConfigSource(config_file)
 
         for migration in CONFIG_MIGRATIONS:
diff --git a/tests/console/commands/test_config.py b/tests/console/commands/test_config.py
index 9661f09c1c4..506351eebf9 100644
--- a/tests/console/commands/test_config.py
+++ b/tests/console/commands/test_config.py
@@ -24,6 +24,7 @@
     from pytest_mock import MockerFixture
 
     from poetry.config.dict_config_source import DictConfigSource
+    from poetry.poetry import Poetry
     from tests.types import CommandTesterFactory
     from tests.types import FixtureDirGetter
     from tests.types import ProjectFactory
@@ -590,3 +591,36 @@ def test_config_migrate(
 
     with config_file.open("r") as fh:
         assert fh.read() == expected_config
+
+
+def test_config_migrate_local_config(tester: CommandTester, poetry: Poetry) -> None:
+    local_config = poetry.file.path.parent / "poetry.toml"
+    config_data = textwrap.dedent("""\
+    [experimental]
+    system-git-client = true
+
+    [virtualenvs]
+    prefer-active-python = false
+    """)
+
+    with local_config.open("w") as fh:
+        fh.write(config_data)
+
+    tester.execute("--migrate --local")
+
+    expected_config = textwrap.dedent("""\
+        system-git-client = true
+
+        [virtualenvs]
+        use-poetry-python = true
+        """)
+
+    with local_config.open("r") as fh:
+        assert fh.read() == expected_config
+
+
+def test_config_migrate_local_config_should_raise_if_not_found(
+    tester: CommandTester,
+) -> None:
+    with pytest.raises(RuntimeError, match="No local config file found"):
+        tester.execute("--migrate --local")