There's several problems need to be solved for this to work. Most prominent is mapping from git users to TFS credentials that will be used when checking in changes back to TFS.
And other troublesome thing is possible conflict with other TFS users (i.e. if someone decides to push things to TFS directly).
That is why it wasn't developed as part of git-tfs I believe (at least that is why I didn't added this feature several months ago).
If you're ok with having TFS login/password pairs in plain text file, and you can ensure conflict-free workflow (e.g. to prohibit checkins to TFS in any other way except through your git central repository) - you can implement what you need with commit hooks or even with simple scheduler (so pushing will be not immediate, but deferred and asynchronous, thus speeding up pushing to git central repository significantly).
Actual script should be pretty straightforward, but nobody bothered to write one yet (at least I don't know of such thing).