Android Cnetral had a dude on their podcast that said that the Nexus 4 has LTE bands for T-mobile (whenever they get LTE up and running). It was very technical and I had no idea what he was saying with the specifics, but interesting. So it is a possibility that it will run LTE in the far, far, far future.
Also, if you go off contact with the Nexus 4, and the next Nexus comes with LTE, you an always buy that phone and go to whatever carrier supports it with LTE.