diff --git a/conda/environments/all_cuda-118_arch-aarch64.yaml b/conda/environments/all_cuda-118_arch-aarch64.yaml
index 2de4597657..a3afe5f3d8 100644
--- a/conda/environments/all_cuda-118_arch-aarch64.yaml
+++ b/conda/environments/all_cuda-118_arch-aarch64.yaml
@@ -21,7 +21,7 @@ dependencies:
 - libcurl>=7.87.0
 - moto>=4.0.8
 - ninja
-- numcodecs !=0.12.0
+- numcodecs>=0.13.0,<14
 - numpy>=1.23,<3.0a0
 - numpydoc
 - nvcc_linux-aarch64=11.8
diff --git a/conda/environments/all_cuda-118_arch-x86_64.yaml b/conda/environments/all_cuda-118_arch-x86_64.yaml
index 8b63a6726b..90631f5b90 100644
--- a/conda/environments/all_cuda-118_arch-x86_64.yaml
+++ b/conda/environments/all_cuda-118_arch-x86_64.yaml
@@ -23,7 +23,7 @@ dependencies:
 - libcurl>=7.87.0
 - moto>=4.0.8
 - ninja
-- numcodecs !=0.12.0
+- numcodecs>=0.13.0,<14
 - numpy>=1.23,<3.0a0
 - numpydoc
 - nvcc_linux-64=11.8
diff --git a/conda/environments/all_cuda-125_arch-aarch64.yaml b/conda/environments/all_cuda-125_arch-aarch64.yaml
index 87759faf53..f956565db6 100644
--- a/conda/environments/all_cuda-125_arch-aarch64.yaml
+++ b/conda/environments/all_cuda-125_arch-aarch64.yaml
@@ -22,7 +22,7 @@ dependencies:
 - libcurl>=7.87.0
 - moto>=4.0.8
 - ninja
-- numcodecs !=0.12.0
+- numcodecs>=0.13.0,<14
 - numpy>=1.23,<3.0a0
 - numpydoc
 - nvcomp==4.1.0.6
diff --git a/conda/environments/all_cuda-125_arch-x86_64.yaml b/conda/environments/all_cuda-125_arch-x86_64.yaml
index e0a10af655..4f83587bb8 100644
--- a/conda/environments/all_cuda-125_arch-x86_64.yaml
+++ b/conda/environments/all_cuda-125_arch-x86_64.yaml
@@ -22,7 +22,7 @@ dependencies:
 - libcurl>=7.87.0
 - moto>=4.0.8
 - ninja
-- numcodecs !=0.12.0
+- numcodecs>=0.13.0,<14
 - numpy>=1.23,<3.0a0
 - numpydoc
 - nvcomp==4.1.0.6
diff --git a/conda/recipes/kvikio/meta.yaml b/conda/recipes/kvikio/meta.yaml
index 3c41af3310..176696e44b 100644
--- a/conda/recipes/kvikio/meta.yaml
+++ b/conda/recipes/kvikio/meta.yaml
@@ -71,7 +71,7 @@ requirements:
     - cupy >=12.0.0
     - zarr
     # See https://github.com/zarr-developers/numcodecs/pull/475
-    - numcodecs !=0.12.0
+    - numcodecs>=0.13.0,<14
     - packaging
     - {{ pin_compatible('cuda-version', max_pin='x', min_pin='x') }}
     {% if cuda_major == "11" %}
diff --git a/dependencies.yaml b/dependencies.yaml
index fe85506ce5..852977216a 100644
--- a/dependencies.yaml
+++ b/dependencies.yaml
@@ -356,7 +356,7 @@ dependencies:
           - numpy>=1.23,<3.0a0
           - zarr
           # See https://github.com/zarr-developers/numcodecs/pull/475
-          - numcodecs !=0.12.0
+          - numcodecs>=0.13.0,<14
           - packaging
   test_cpp:
     common:
diff --git a/python/kvikio/pyproject.toml b/python/kvikio/pyproject.toml
index cafde598bd..2f391354d1 100644
--- a/python/kvikio/pyproject.toml
+++ b/python/kvikio/pyproject.toml
@@ -21,7 +21,7 @@ requires-python = ">=3.10"
 dependencies = [
     "cupy-cuda11x>=12.0.0",
     "libkvikio==24.12.*,>=0.0.0a0",
-    "numcodecs !=0.12.0",
+    "numcodecs>=0.13.0,<14",
     "numpy>=1.23,<3.0a0",
     "nvidia-nvcomp==4.1.0.6",
     "packaging",