diff --git a/tools/certbot_constraints.txt b/tools/certbot_constraints.txt
index 77bfef9db..1de0606e5 100644
--- a/tools/certbot_constraints.txt
+++ b/tools/certbot_constraints.txt
@@ -57,21 +57,19 @@ chardet==4.0.0 \
     --hash=sha256:f864054d66fd9118f2e67044ac8981a54775ec5b67aed0441892edb553d21da5
 configobj==5.0.6 \
     --hash=sha256:a2f5650770e1c87fb335af19a9b7eb73fc05ccf22144eb68db7d00cd2bcb0902
-cryptography==3.3.2 \
-    --hash=sha256:0d7b69674b738068fa6ffade5c962ecd14969690585aaca0a1b1fc9058938a72 \
-    --hash=sha256:1bd0ccb0a1ed775cd7e2144fe46df9dc03eefd722bbcf587b3e0616ea4a81eff \
-    --hash=sha256:3c284fc1e504e88e51c428db9c9274f2da9f73fdf5d7e13a36b8ecb039af6e6c \
-    --hash=sha256:49570438e60f19243e7e0d504527dd5fe9b4b967b5a1ff21cc12b57602dd85d3 \
-    --hash=sha256:541dd758ad49b45920dda3b5b48c968f8b2533d8981bcdb43002798d8f7a89ed \
-    --hash=sha256:5a60d3780149e13b7a6ff7ad6526b38846354d11a15e21068e57073e29e19bed \
-    --hash=sha256:7951a966613c4211b6612b0352f5bf29989955ee592c4a885d8c7d0f830d0433 \
-    --hash=sha256:922f9602d67c15ade470c11d616f2b2364950602e370c76f0c94c94ae672742e \
-    --hash=sha256:a0f0b96c572fc9f25c3f4ddbf4688b9b38c69836713fb255f4a2715d93cbaf44 \
-    --hash=sha256:a777c096a49d80f9d2979695b835b0f9c9edab73b59e4ceb51f19724dda887ed \
-    --hash=sha256:a9a4ac9648d39ce71c2f63fe7dc6db144b9fa567ddfc48b9fde1b54483d26042 \
-    --hash=sha256:aa4969f24d536ae2268c902b2c3d62ab464b5a66bcb247630d208a79a8098e9b \
-    --hash=sha256:c7390f9b2119b2b43160abb34f63277a638504ef8df99f11cb52c1fda66a2e6f \
-    --hash=sha256:e18e6ab84dfb0ab997faf8cca25a86ff15dfea4027b986322026cc99e0a892da
+cryptography==3.4.6 \
+    --hash=sha256:066bc53f052dfeda2f2d7c195cf16fb3e5ff13e1b6b7415b468514b40b381a5b \
+    --hash=sha256:0923ba600d00718d63a3976f23cab19aef10c1765038945628cd9be047ad0336 \
+    --hash=sha256:2d32223e5b0ee02943f32b19245b61a62db83a882f0e76cc564e1cec60d48f87 \
+    --hash=sha256:4169a27b818de4a1860720108b55a2801f32b6ae79e7f99c00d79f2a2822eeb7 \
+    --hash=sha256:57ad77d32917bc55299b16d3b996ffa42a1c73c6cfa829b14043c561288d2799 \
+    --hash=sha256:5ecf2bcb34d17415e89b546dbb44e73080f747e504273e4d4987630493cded1b \
+    --hash=sha256:600cf9bfe75e96d965509a4c0b2b183f74a4fa6f5331dcb40fb7b77b7c2484df \
+    --hash=sha256:66b57a9ca4b3221d51b237094b0303843b914b7d5afd4349970bb26518e350b0 \
+    --hash=sha256:93cfe5b7ff006de13e1e89830810ecbd014791b042cbe5eec253be11ac2b28f3 \
+    --hash=sha256:9e98b452132963678e3ac6c73f7010fe53adf72209a32854d55690acac3f6724 \
+    --hash=sha256:df186fcbf86dc1ce56305becb8434e4b6b7504bc724b71ad7a3239e0c9d14ef2 \
+    --hash=sha256:fec7fb46b10da10d9e1d078d1ff8ed9e05ae14f431fdbd11145edd0550b9a964
 distro==1.5.0 \
     --hash=sha256:0e58756ae38fbd8fc3020d54badb8eae17c5b9dcbed388b17bb55b8a5928df92 \
     --hash=sha256:df74eed763e18d10d0da624258524ae80486432cd17392d9c3d96f5e83cd2799
diff --git a/tools/rebuild_certbot_constraints.py b/tools/rebuild_certbot_constraints.py
index f5e5d3ca7..f29cfef4d 100755
--- a/tools/rebuild_certbot_constraints.py
+++ b/tools/rebuild_certbot_constraints.py
@@ -37,9 +37,6 @@ AUTHORITATIVE_CONSTRAINTS = {
     # Too touchy to move to a new version. And will be removed soon
     # in favor of pure python parser for Apache.
     'python-augeas': '0.5.0',
-    # We avoid cryptography 3.4+ since it requires Rust to compile the wheels, and
-    # this needs some work on the snap builds.
-    'cryptography': '3.3.2',
 }
 
 # ./certbot/tools/rebuild_certbot_constraints.py (2 levels from certbot root path)