diff --git a/ci/deps/azure-37-numpydev.yaml b/ci/deps/azure-37-numpydev.yaml
index 5cb58756a6ac1..f2f1f80201d74 100644
--- a/ci/deps/azure-37-numpydev.yaml
+++ b/ci/deps/azure-37-numpydev.yaml
@@ -14,7 +14,7 @@ dependencies:
   - pytz
   - pip
   - pip:
-    - cython==0.29.16 # GH#34014
+    - cython>=0.29.16
     - "git+git://github.com/dateutil/dateutil.git"
     - "--extra-index-url https://pypi.anaconda.org/scipy-wheels-nightly/simple"
     - "--pre"