diff --git a/ci/requirements/py36-min-all-deps.yml b/ci/requirements/py36-min-all-deps.yml
index c99ae39e5d9..3f10a158f91 100644
--- a/ci/requirements/py36-min-all-deps.yml
+++ b/ci/requirements/py36-min-all-deps.yml
@@ -13,7 +13,7 @@ dependencies:
   - cartopy=0.17
   - cdms2=3.1
   - cfgrib=0.9
-  - cftime=1.0.3  # FIXME need 1.0.5 (not released yet); 1.0.4 is broken
+  - cftime=1.0
   - coveralls
   - dask=1.2
   - distributed=1.27
diff --git a/ci/requirements/py36.yml b/ci/requirements/py36.yml
index 6e27cea2ffe..f9847ef6da5 100644
--- a/ci/requirements/py36.yml
+++ b/ci/requirements/py36.yml
@@ -9,7 +9,7 @@ dependencies:
   - cartopy
   - cdms2
   - cfgrib
-  - cftime<1.0.4  # FIXME need 1.0.5 (not released yet); 1.0.4 is broken
+  - cftime
   - coveralls
   - dask
   - distributed
diff --git a/ci/requirements/py37-windows.yml b/ci/requirements/py37-windows.yml
index 7027fc11ab7..111cd96c30c 100644
--- a/ci/requirements/py37-windows.yml
+++ b/ci/requirements/py37-windows.yml
@@ -9,7 +9,7 @@ dependencies:
   - cartopy
   # - cdms2  # Not available on Windows
   # - cfgrib  # Causes Python interpreter crash on Windows
-  - cftime<1.0.4  # FIXME need 1.0.5 (not released yet); 1.0.4 is broken
+  - cftime
   - coveralls
   - dask
   - distributed
diff --git a/ci/requirements/py37.yml b/ci/requirements/py37.yml
index a4c974c0176..d816019dd65 100644
--- a/ci/requirements/py37.yml
+++ b/ci/requirements/py37.yml
@@ -9,7 +9,7 @@ dependencies:
   - cartopy
   - cdms2
   - cfgrib
-  - cftime<1.0.4  # FIXME need 1.0.5 (not released yet); 1.0.4 is broken
+  - cftime
   - coveralls
   - dask
   - distributed
diff --git a/doc/whats-new.rst b/doc/whats-new.rst
index 3ab8618a85a..443be29ac23 100644
--- a/doc/whats-new.rst
+++ b/doc/whats-new.rst
@@ -22,6 +22,11 @@ Breaking changes
 ~~~~~~~~~~~~~~~~
 
 - Minimum cftime version is now 1.0.3. By `Deepak Cherian <https://github.com/dcherian>`_.
+
+  .. note::
+
+    cftime version 1.0.4 is broken (`cftime/126 <https://github.com/Unidata/cftime/issues/126>`_), use version 1.0.4.2 instead. 
+
 - All leftover support for dates from non-standard calendars through netcdftime, the
   module included in versions of netCDF4 prior to 1.4 that eventually became the
   cftime package, has been removed in favor of relying solely on the standalone