diff --git a/requirements/ci/py36.yml b/requirements/ci/py36.yml
index 9e6d76c931..0461cdf880 100644
--- a/requirements/ci/py36.yml
+++ b/requirements/ci/py36.yml
@@ -13,7 +13,7 @@ dependencies:
 # Core dependencies.
   - cartopy>=0.18
   - cf-units>=2
-  - cftime
+  - cftime<1.3.0
   - dask>=2
   - matplotlib
   - netcdf4
diff --git a/requirements/ci/py37.yml b/requirements/ci/py37.yml
index 4c9825a97d..8817f575b7 100644
--- a/requirements/ci/py37.yml
+++ b/requirements/ci/py37.yml
@@ -13,7 +13,7 @@ dependencies:
 # Core dependencies.
   - cartopy>=0.18
   - cf-units>=2
-  - cftime
+  - cftime<1.3.0
   - dask>=2
   - matplotlib
   - netcdf4
diff --git a/requirements/core.txt b/requirements/core.txt
index 0b59c573ec..9e0c4fb1bb 100644
--- a/requirements/core.txt
+++ b/requirements/core.txt
@@ -2,7 +2,7 @@
 
 cartopy>=0.18
 cf-units>=2
-cftime
+cftime<1.3.0
 dask[array]>=2
 matplotlib
 netcdf4