diff --git a/4.0/alpine/Dockerfile b/4.0/alpine/Dockerfile
index 1d6d710..0c09f3a 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 3.3.3
-ENV OPENSSL_SOURCE_SHA256="712590fd20aaa60ec75d778fe5b810d6b829ca7fb1e530577917a131f9105539"
+ENV OPENSSL_VERSION 3.3.4
+ENV OPENSSL_SOURCE_SHA256="8d1a5fc323d3fd351dc05458457fd48f78652d2a498e1d70ffea07b4d0eb3fa8"
 # https://www.openssl.org/source/
 ENV OPENSSL_PGP_KEY_IDS="0xBA5473A2B0587B07FB27CF2D216094DFD0CB81EF"
 
diff --git a/4.0/ubuntu/Dockerfile b/4.0/ubuntu/Dockerfile
index 325fcfa..0e56614 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 3.3.3
-ENV OPENSSL_SOURCE_SHA256="712590fd20aaa60ec75d778fe5b810d6b829ca7fb1e530577917a131f9105539"
+ENV OPENSSL_VERSION 3.3.4
+ENV OPENSSL_SOURCE_SHA256="8d1a5fc323d3fd351dc05458457fd48f78652d2a498e1d70ffea07b4d0eb3fa8"
 # https://www.openssl.org/source/
 ENV OPENSSL_PGP_KEY_IDS="0xBA5473A2B0587B07FB27CF2D216094DFD0CB81EF"
 
diff --git a/versions.json b/versions.json
index cc2d109..a20cd39 100644
--- a/versions.json
+++ b/versions.json
@@ -22,8 +22,8 @@
       "version": "3.22"
     },
     "openssl": {
-      "sha256": "712590fd20aaa60ec75d778fe5b810d6b829ca7fb1e530577917a131f9105539",
-      "version": "3.3.3"
+      "sha256": "8d1a5fc323d3fd351dc05458457fd48f78652d2a498e1d70ffea07b4d0eb3fa8",
+      "version": "3.3.4"
     },
     "otp": {
       "sha256": "2672f0c52b9ff39695b9c8f99cd1846ed9e47e21cd5b045ccdd08719a3019652",