diff --git a/ci/deps/azure-35-compat.yaml b/ci/deps/azure-35-compat.yaml
index e55a4fbdf3fa9..c6fd65570d97e 100644
--- a/ci/deps/azure-35-compat.yaml
+++ b/ci/deps/azure-35-compat.yaml
@@ -26,5 +26,5 @@ dependencies:
   - pip
   - pip:
     # for python 3.5, pytest>=4.0.2 is not available in conda
-    - pytest==4.5.0
+    - pytest>=4.6.2
     - html5lib==1.0b2
diff --git a/ci/deps/azure-macos-35.yaml b/ci/deps/azure-macos-35.yaml
index 00c2051f29760..719e4e8777528 100644
--- a/ci/deps/azure-macos-35.yaml
+++ b/ci/deps/azure-macos-35.yaml
@@ -25,7 +25,7 @@ dependencies:
   - pip:
     - python-dateutil==2.5.3
     # universal
-    - pytest==4.5.0
+    - pytest>=4.6.2
     - pytest-xdist
     - pytest-mock
     - hypothesis>=3.58.0