diff --git a/cryptography-linux/openssl-version.sh b/cryptography-linux/openssl-version.sh
index def3922..552f0fe 100644
--- a/cryptography-linux/openssl-version.sh
+++ b/cryptography-linux/openssl-version.sh
@@ -1,5 +1,5 @@
-export OPENSSL_VERSION="openssl-3.5.4"
-export OPENSSL_SHA256="967311f84955316969bdb1d8d4b983718ef42338639c621ec4c34fddef355e99"
+export OPENSSL_VERSION="openssl-3.6.0"
+export OPENSSL_SHA256="b6a5f44b7eb69e3fa35dbf15524405b44837a481d43d81daddde3ff21fcbb8e9"
 # 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"