Normally I wouldn't discourage someone from hacking up their phone if they want to...even for something small. That's what Nexus devices are for IMO.
However, before i get into the basic steps to do what you want to do let me just say that I have done this and the results are actually worse than with HSPA+.
Yes, technically it is possible to get TMO LTE on the device but from everything I have read the device lacks an amplifier and another piece of hardware to give you an optimal signal. They literally just used the same antenna as the optimus g because it was cheaper than building one that didn't have LTE but the excluded some of the supporting hardware. This hasn't been verified but my experience with the signal quality tends to back it up.
When you get it working, you'll have to re-enable it after every single reboot. It reverts back to the default settings
You'll have to jump through extra hoops if you want audio to work in calls. I haven't done that yet and probably won't
Yes, you need the .33 or .28 radios but the .44 radios have really good updates that improve much about the HSPA+ side of things, you'll give those up.
Even when you get this ALL working, there's very little coverage around. I'm in an official TMO LTE market (Baltimore, MD) and when I can get a good LTE signals my average speeds were only marginally better (18/3 HSPA+ vs 21/6 LTE) on LTE. granted the ping times were vastly improved.
Even if LTE gets enabled as some far fetching rumors suggest, as of right now no work has been done to optimize the LTE on the device.
And on top of that...technically operating a device on a frequency it's no approved for isn't legal

but shhhhh.
So, if you still want to here are the general steps but you still have some homework to do. It's not simple
unlock the device (you technically don't need to root but you might as well if you are going to do other stuff later)
flash a custom recovery
make a backup <---that's important
download BOTH radios to your phone (.33 and the latest so you can go back)
flash the old radio
update your apn to fast.tmobile.com
Go to the dialpad/phone.
Dial in the this number: *#*#4636#*#* (This will bring up "Phone info").
Tap WCDMA from under "Set preferred network type".
Select "LTE/GSM/CDMA auto (PRL)".
The 4G LTE network should now be activated.
Fix the in call audio
you'll need these, in this order
http://forums.androidcentral.com/nexus-4-rooting-roms-hacks/224861-guide-nexus-4-unlock-root.html
How to Enable the Hidden 4G LTE Feature on Your Google Nexus 4 ? Smartphones
Fix for no in-call audio/T-Mobile US/4.2.2/.33 radio or lower - xda-developers
best of luck!