Tonight Microsoft's ALM team announced on a new version of "TFS Administration Tool" for TFS 2013.
Microsoft released tonight a new and first update for visual studio 2013. Currently the update is in go-live RC (release candidate) stage which means that Microsoft supports that version and it safe enough for your production environment.
A little background & details:
I've installed Visual Studio 2013 RTM on a clean windows server 2012. When I tried to create a new team project I've got the following error: