diff --git a/cryptography-linux/openssl-version.sh b/cryptography-linux/openssl-version.sh
index 757ee5c..51f7fd4 100644
--- a/cryptography-linux/openssl-version.sh
+++ b/cryptography-linux/openssl-version.sh
@@ -1,5 +1,5 @@
-export OPENSSL_VERSION="openssl-3.4.0"
-export OPENSSL_SHA256="e15dda82fe2fe8139dc2ac21a36d4ca01d5313c75f99f46c4e8a27709b7294bf"
+export OPENSSL_VERSION="openssl-3.4.1"
+export OPENSSL_SHA256="002a2d6b30b58bf4bea46c43bdd96365aaf8daa6c428782aa4feee06da197df3"
 # We need a base set of flags because on Windows using MSVC
 # enable-ec_nistp_64_gcc_128 doesn't work since there's no 128-bit type
 export OPENSSL_BUILD_FLAGS_WINDOWS="no-ssl3 no-ssl3-method no-zlib no-shared no-module no-comp no-dynamic-engine no-apps no-docs no-sm2-precomp no-atexit"