diff --git a/environment.yml b/environment.yml
index 547aaecec1..c3d746f34f 100644
--- a/environment.yml
+++ b/environment.yml
@@ -21,14 +21,14 @@ dependencies:
   - distributed
   - ecmwf-api-client
   - eofs
-  - esmpy !=8.1.0,<8.6.0  # https://github.com/SciTools-incubator/iris-esmf-regrid/pull/342#issuecomment-2092921514
+  - esmpy >=8.6.0  # github.com/SciTools-incubator/iris-esmf-regrid/pull/342
   - esmvalcore 2.10.*
   - fiona
   - fire
   - fsspec
   - gdal
   - iris >=3.6.1
-  - iris-esmf-regrid >=0.7.0
+  - iris-esmf-regrid >=0.10.0  # github.com/SciTools-incubator/iris-esmf-regrid/pull/342
   - jinja2
   - joblib
   - lime
diff --git a/environment_osx.yml b/environment_osx.yml
index 809cb09346..92eb9fed93 100644
--- a/environment_osx.yml
+++ b/environment_osx.yml
@@ -21,14 +21,14 @@ dependencies:
   - distributed
   - ecmwf-api-client
   - eofs
-  - esmpy !=8.1.0,<8.6.0  # https://github.com/SciTools-incubator/iris-esmf-regrid/pull/342#issuecomment-2092921514
+  - esmpy >=8.6.0  # github.com/SciTools-incubator/iris-esmf-regrid/pull/342
   - esmvalcore 2.10.*
   - fiona
   - fsspec
   - fire
   - gdal
   - iris >=3.6.1
-  - iris-esmf-regrid >=0.7.0
+  - iris-esmf-regrid >=0.10.0  # github.com/SciTools-incubator/iris-esmf-regrid/pull/342
   - jinja2
   - joblib
   - lime
diff --git a/setup.py b/setup.py
index 84bd2a7c82..5cb030b8a4 100755
--- a/setup.py
+++ b/setup.py
@@ -33,7 +33,7 @@
         'eofs',
         'ESMPy',  # not on PyPI
         'esmvalcore',
-        'esmf-regrid>=0.7.0',
+        'esmf-regrid>=0.10.0',  # iris-esmf-regrid #342
         'fiona',
         'fire',
         'fsspec',