We are currently running Mailman 1.0 and python 1.5.2

In prep for upgrading Mailman 1.0, I will be upgrading python from 1.5.2 to version 2.3.3. Will Mailman 1.0 continue to run after I upgrade python to 2.3.3? Also, will Mailman 2.0.13 run OK under python 2.3.3? The docs on the Mailman web site say that Mailman 2.0.13 runs best under python 2.2.2.