diff --git a/Dockerfile-py3-focal-amd64 b/Dockerfile-py3-focal-amd64
index 5184bcc..b100b85 100644
--- a/Dockerfile-py3-focal-amd64
+++ b/Dockerfile-py3-focal-amd64
@@ -33,16 +33,7 @@ RUN \
         uuid-dev \
         #upx
         upx \
-    # required because openSSL on Ubuntu 12.04 and 14.04 run out of support versions of OpenSSL
-    && mkdir openssl \
-    && cd openssl \
-    # latest version, there won't be anything newer for this
-    && wget https://www.openssl.org/source/openssl-1.0.2u.tar.gz \
-    && tar -xzvf openssl-1.0.2u.tar.gz \
-    && cd openssl-1.0.2u \
-    && ./config --prefix=$HOME/openssl --openssldir=$HOME/openssl shared zlib \
-    && make \
-    && make install \
+        libssl-dev \
     # install pyenv
     && echo 'export PYENV_ROOT="$HOME/.pyenv"' >> ~/.bashrc \
     && echo 'export PATH="$PYENV_ROOT/bin:$PATH"' >> ~/.bashrc \
diff --git a/Dockerfile-py3-xenial-amd64 b/Dockerfile-py3-xenial-amd64
index 2f35294..8520db0 100644
--- a/Dockerfile-py3-xenial-amd64
+++ b/Dockerfile-py3-xenial-amd64
@@ -33,16 +33,7 @@ RUN \
         uuid-dev \
         #upx
         upx \
-    # required because openSSL on Ubuntu 12.04 and 14.04 run out of support versions of OpenSSL
-    && mkdir openssl \
-    && cd openssl \
-    # latest version, there won't be anything newer for this
-    && wget https://www.openssl.org/source/openssl-1.0.2u.tar.gz \
-    && tar -xzvf openssl-1.0.2u.tar.gz \
-    && cd openssl-1.0.2u \
-    && ./config --prefix=$HOME/openssl --openssldir=$HOME/openssl shared zlib \
-    && make \
-    && make install \
+        libssl-dev \
     # install pyenv
     && echo 'export PYENV_ROOT="$HOME/.pyenv"' >> ~/.bashrc \
     && echo 'export PATH="$PYENV_ROOT/bin:$PATH"' >> ~/.bashrc \