diff --git a/lib/licenses.nix b/lib/licenses.nix
index e6005c3baef7..beb4be391080 100644
--- a/lib/licenses.nix
+++ b/lib/licenses.nix
@@ -883,12 +883,6 @@ in mkLicense lset) ({
     free = false;
   };
 
-  nvidiaCudnn = {
-    fullName = "cuDNN Supplement to Software License Agreement for NVIDIA Software Development Kits";
-    url = "https://docs.nvidia.com/deeplearning/sdk/cudnn-sla/index.html#supplement";
-    free = false;
-  };
-
   obsidian = {
     fullName = "Obsidian End User Agreement";
     url = "https://obsidian.md/eula";
diff --git a/pkgs/development/libraries/science/math/cudnn/generic.nix b/pkgs/development/libraries/science/math/cudnn/generic.nix
index b1e03e35df12..709974070e84 100644
--- a/pkgs/development/libraries/science/math/cudnn/generic.nix
+++ b/pkgs/development/libraries/science/math/cudnn/generic.nix
@@ -153,8 +153,13 @@ in
       description = "NVIDIA CUDA Deep Neural Network library (cuDNN)";
       homepage = "https://developer.nvidia.com/cudnn";
       sourceProvenance = with sourceTypes; [binaryNativeCode];
-      # TODO: consider marking unfreRedistributable when not using runfile
-      license = licenses.unfree;
+      license = {
+        fullName = "cuDNN Supplement to Software License Agreement for NVIDIA Software Development Kits";
+        url = "https://docs.nvidia.com/deeplearning/sdk/cudnn-sla/index.html#supplement";
+        free = false;
+      } // lib.optionalAttrs (!useCudatoolkitRunfile) {
+        redistributable = true;
+      };
       platforms = ["x86_64-linux"];
       maintainers = with maintainers; [mdaiter samuela];
       # Force the use of the default, fat output by default (even though `dev` exists, which