diff --git a/CMakeLists.txt b/CMakeLists.txt
index 7e0539aa6b5f621fc3adfc4dadb18ad7f100127e..f2aa8716e0b79ce25d73127adafc1b5c63da871e 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -28,7 +28,7 @@ endif()
 file(GLOB CRYPTO_PYTHON_SRCS src/*.c)
 file(GLOB CRYPTO_PYTHON_HEADERS include/*.h)
 
-set(Python_ADDITIONAL_VERSIONS 3.7)
+set(Python_ADDITIONAL_VERSIONS 3.7 3.6 3.5 3.4)
 find_package (PythonLibs REQUIRED)
 include_directories(${PYTHON_INCLUDE_DIR} include/)