diff --git a/pyproject.toml b/pyproject.toml
index c89455d4..3bea40c1 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -53,8 +53,8 @@ test = [
     "pytest-mock >= 3.6.1",
     "trustme",
     """\
-    uvloop >= 0.17; platform_python_implementation == 'CPython' \
-    and platform_system != 'Windows' and python_version < '3.13'\
+    uvloop >= 0.21.0b1; platform_python_implementation == 'CPython' \
+    and platform_system != 'Windows'\
     """
 ]
 doc = [
diff --git a/tests/test_subprocesses.py b/tests/test_subprocesses.py
index e8020a7c..b1ff553d 100644
--- a/tests/test_subprocesses.py
+++ b/tests/test_subprocesses.py
@@ -285,9 +285,9 @@ async def test_py39_arguments(
                 [sys.executable, "-c", "print('hello')"],
                 **{argname: argvalue_factory()},
             )
-        except TypeError as exc:
+        except ValueError as exc:
             if (
-                "unexpected keyword argument" in str(exc)
+                "unexpected kwargs" in str(exc)
                 and anyio_backend_name == "asyncio"
                 and anyio_backend_options["loop_factory"]
                 and anyio_backend_options["loop_factory"].__module__ == "uvloop"