diff --git a/tests/conftest.py b/tests/conftest.py
index 80303a14f..c4ca472ff 100644
--- a/tests/conftest.py
+++ b/tests/conftest.py
@@ -10,6 +10,7 @@
 import shutil
 import subprocess
 import sys
+import sysconfig
 import tempfile
 import warnings
 
@@ -77,6 +78,7 @@ def tmp_path_session(tmp_path_factory):
 class VEnv(EnvBuilder):
     def __init__(self, env_dir):
         super().__init__(symlinks=True, with_pip=True)
+
         # This warning is mistakenly generated by CPython 3.11.0
         # https://github.com/python/cpython/pull/98743
         with warnings.catch_warnings():
@@ -84,6 +86,10 @@ def __init__(self, env_dir):
                 warnings.filterwarnings('ignore', 'check_home argument is deprecated and ignored.', DeprecationWarning)
             self.create(env_dir)
 
+        # Free-threaded Python 3.13 requires pip 24.1b1 or later.
+        if sysconfig.get_config_var('Py_GIL_DISABLED'):
+            self.pip('install', '--upgrade', 'pip >= 24.1b1')
+
     def ensure_directories(self, env_dir):
         context = super().ensure_directories(env_dir)
         # Store the path to the venv Python interpreter. There does