diff --git a/pkgs/development/compilers/cudatoolkit/default.nix b/pkgs/development/compilers/cudatoolkit/default.nix
index b3b7b305fba..3c08e9030ff 100644
--- a/pkgs/development/compilers/cudatoolkit/default.nix
+++ b/pkgs/development/compilers/cudatoolkit/default.nix
@@ -153,5 +153,12 @@ in rec {
     gcc = gcc9;
   };
 
-  cudatoolkit_11 = cudatoolkit_11_1;
+  cudatoolkit_11_2 = common {
+    version = "11.2.1";
+    url = "https://developer.download.nvidia.com/compute/cuda/11.2.1/local_installers/cuda_11.2.1_460.32.03_linux.run";
+    sha256 = "sha256-HamMuJfMX1inRFpKZspPaSaGdwbLOvWKZpzc2Nw9F8g=";
+    gcc = gcc9;
+  };
+
+  cudatoolkit_11 = cudatoolkit_11_2;
 }
diff --git a/pkgs/development/libraries/science/math/cudnn/default.nix b/pkgs/development/libraries/science/math/cudnn/default.nix
index d99149c0e96..c9bf9a49e68 100644
--- a/pkgs/development/libraries/science/math/cudnn/default.nix
+++ b/pkgs/development/libraries/science/math/cudnn/default.nix
@@ -1,4 +1,4 @@
-{ callPackage, cudatoolkit_7, cudatoolkit_7_5, cudatoolkit_8, cudatoolkit_9_0, cudatoolkit_9_1, cudatoolkit_9_2, cudatoolkit_10_0, cudatoolkit_10_1, cudatoolkit_10_2, cudatoolkit_11_0 }:
+{ callPackage, cudatoolkit_7, cudatoolkit_7_5, cudatoolkit_8, cudatoolkit_9_0, cudatoolkit_9_1, cudatoolkit_9_2, cudatoolkit_10_0, cudatoolkit_10_1, cudatoolkit_10_2, cudatoolkit_11_0, cudatoolkit_11_1, cudatoolkit_11_2 }:
 
 let
   generic = args: callPackage (import ./generic.nix (removeAttrs args ["cudatoolkit"])) {
@@ -82,11 +82,21 @@ in rec {
   cudnn_cudatoolkit_10 = cudnn_cudatoolkit_10_2;
 
   cudnn_cudatoolkit_11_0 = generic rec {
-    version = "8.0.2";
+    version = "8.1.0";
     cudatoolkit = cudatoolkit_11_0;
-    srcName = "cudnn-${cudatoolkit.majorVersion}-linux-x64-v8.0.2.39.tgz";
-    sha256 = "0ib3v3bgcdxarqapkxngw1nwl0c2a7zz392ns7w9ipcficl4cbv7";
+    # 8.1.0 is compatible with CUDA 11.0, 11.1, and 11.2:
+    # https://docs.nvidia.com/deeplearning/cudnn/support-matrix/index.html#cudnn-cuda-hardware-versions
+    srcName = "cudnn-11.2-linux-x64-v8.1.0.77.tgz";
+    sha256 = "sha256-2+gvrwcdkbqbzwBIAUatM/RiSC3+5WyvRHnBuNq+Pss=";
   };
 
-  cudnn_cudatoolkit_11 = cudnn_cudatoolkit_11_0;
+  cudnn_cudatoolkit_11_1 = cudnn_cudatoolkit_11_0.override {
+    cudatoolkit = cudatoolkit_11_1;
+  };
+
+  cudnn_cudatoolkit_11_2 = cudnn_cudatoolkit_11_0.override {
+    cudatoolkit = cudatoolkit_11_2;
+  };
+
+  cudnn_cudatoolkit_11 = cudnn_cudatoolkit_11_2;
 }
diff --git a/pkgs/top-level/all-packages.nix b/pkgs/top-level/all-packages.nix
index d6dd4b14f9a..15f73c04f4b 100644
--- a/pkgs/top-level/all-packages.nix
+++ b/pkgs/top-level/all-packages.nix
@@ -3408,7 +3408,9 @@ in
     cudatoolkit_10_1
     cudatoolkit_10_2
     cudatoolkit_11
-    cudatoolkit_11_0;
+    cudatoolkit_11_0
+    cudatoolkit_11_1
+    cudatoolkit_11_2;
 
   cudatoolkit = cudatoolkit_10;
 
@@ -3427,7 +3429,9 @@ in
     cudnn_cudatoolkit_10_1
     cudnn_cudatoolkit_10_2
     cudnn_cudatoolkit_11
-    cudnn_cudatoolkit_11_0;
+    cudnn_cudatoolkit_11_0
+    cudnn_cudatoolkit_11_1
+    cudnn_cudatoolkit_11_2;
 
   cudnn = cudnn_cudatoolkit_10;