Following the instructions in the existing question on the OpenSSL bugs, I've run apt-get update and upgrade, and rebooted.
Now when I check the version, I do not have the version mentioned in the answers to the previous question "1.0.1-4ubuntu5.12"
>dpkg -s openssl
Version: 1.0.1e-3ubuntu1.2
>openssl version
OpenSSL 1.0.1e 11 Feb 2013