diff --git a/ci/deps/azure-37-locale.yaml b/ci/deps/azure-37-locale.yaml
index 6844e929eae78..05adbf0c924dc 100644
--- a/ci/deps/azure-37-locale.yaml
+++ b/ci/deps/azure-37-locale.yaml
@@ -17,7 +17,7 @@ dependencies:
   - openpyxl
   - pytables
   - python-dateutil
-  - python=3.7.3
+  - python=3.7.*
   - pytz
   - s3fs
   - scipy
diff --git a/ci/deps/azure-37-numpydev.yaml b/ci/deps/azure-37-numpydev.yaml
index 3b68a573497e6..5cf897c98da10 100644
--- a/ci/deps/azure-37-numpydev.yaml
+++ b/ci/deps/azure-37-numpydev.yaml
@@ -2,7 +2,7 @@ name: pandas-dev
 channels:
   - defaults
 dependencies:
-  - python=3.7.3
+  - python=3.7.*
   - pytz
   - Cython>=0.28.2
   # universal
diff --git a/ci/deps/travis-37.yaml b/ci/deps/travis-37.yaml
index 2d7f4b483729f..c9a8c274fb144 100644
--- a/ci/deps/travis-37.yaml
+++ b/ci/deps/travis-37.yaml
@@ -4,7 +4,7 @@ channels:
   - conda-forge
   - c3i_test
 dependencies:
-  - python=3.7.3
+  - python=3.7.*
   - botocore>=1.11
   - cython>=0.28.2
   - numpy
diff --git a/environment.yml b/environment.yml
index d54caf9d013c7..93e8302b498a0 100644
--- a/environment.yml
+++ b/environment.yml
@@ -5,7 +5,7 @@ channels:
 dependencies:
   # required
   - numpy>=1.15
-  - python=3.7.3
+  - python=3
   - python-dateutil>=2.6.1
   - pytz
 
diff --git a/requirements-dev.txt b/requirements-dev.txt
index 9d80a13350579..e49ad10bfc99d 100644
--- a/requirements-dev.txt
+++ b/requirements-dev.txt
@@ -1,5 +1,4 @@
 numpy>=1.15
-python==3.7.3
 python-dateutil>=2.6.1
 pytz
 asv