diff --git a/4.0/alpine/Dockerfile b/4.0/alpine/Dockerfile
index a3083dd..ba21c12 100644
--- a/4.0/alpine/Dockerfile
+++ b/4.0/alpine/Dockerfile
@@ -26,8 +26,8 @@ ARG PGP_KEYSERVER=keyserver.ubuntu.com
 # run the build with a different PGP_KEYSERVER, e.g. docker build --tag rabbitmq:4.0 --build-arg PGP_KEYSERVER=pgpkeys.eu 4.0/ubuntu
 # For context, see https://github.com/docker-library/official-images/issues/4252
 
-ENV OPENSSL_VERSION 3.3.4
-ENV OPENSSL_SOURCE_SHA256="8d1a5fc323d3fd351dc05458457fd48f78652d2a498e1d70ffea07b4d0eb3fa8"
+ENV OPENSSL_VERSION 3.3.5
+ENV OPENSSL_SOURCE_SHA256="9d62c00a5a6903740c8703f0e006257f429d565d3b91ac1a9bd4a4c700002e01"
 # https://www.openssl.org/source/
 ENV OPENSSL_PGP_KEY_IDS="0xBA5473A2B0587B07FB27CF2D216094DFD0CB81EF"
 
diff --git a/4.0/ubuntu/Dockerfile b/4.0/ubuntu/Dockerfile
index 85ee82c..fda8ba7 100644
--- a/4.0/ubuntu/Dockerfile
+++ b/4.0/ubuntu/Dockerfile
@@ -29,8 +29,8 @@ ARG PGP_KEYSERVER=keyserver.ubuntu.com
 # run the build with a different PGP_KEYSERVER, e.g. docker build --tag rabbitmq:4.0 --build-arg PGP_KEYSERVER=pgpkeys.eu 4.0/ubuntu
 # For context, see https://github.com/docker-library/official-images/issues/4252
 
-ENV OPENSSL_VERSION 3.3.4
-ENV OPENSSL_SOURCE_SHA256="8d1a5fc323d3fd351dc05458457fd48f78652d2a498e1d70ffea07b4d0eb3fa8"
+ENV OPENSSL_VERSION 3.3.5
+ENV OPENSSL_SOURCE_SHA256="9d62c00a5a6903740c8703f0e006257f429d565d3b91ac1a9bd4a4c700002e01"
 # https://www.openssl.org/source/
 ENV OPENSSL_PGP_KEY_IDS="0xBA5473A2B0587B07FB27CF2D216094DFD0CB81EF"
 
diff --git a/versions.json b/versions.json
index 3fde0aa..0108061 100644
--- a/versions.json
+++ b/versions.json
@@ -22,8 +22,8 @@
       "version": "3.22"
     },
     "openssl": {
-      "sha256": "8d1a5fc323d3fd351dc05458457fd48f78652d2a498e1d70ffea07b4d0eb3fa8",
-      "version": "3.3.4"
+      "sha256": "9d62c00a5a6903740c8703f0e006257f429d565d3b91ac1a9bd4a4c700002e01",
+      "version": "3.3.5"
     },
     "otp": {
       "sha256": "597618c75890e8e606033bc8dbf6ec87fdf4e892c10b4912ae3c9a4f01384579",