The international variant of the Samsung Galaxy Note 3 already received its KitKat 4.4 update about a month and a half ago, but now it looks like T-Mobile USA will finally enjoy some update.
There have been reports from T-Mobile customers that they’ve been receiving the update on their devices.
Since it’s an over-the-air update, different customers in different regions of the country receive the updates at different times.
If you want to manually check for the update, you can do so by going to settings > general > about device > software update.
After the update, your phone should be on software version N900TUVUCNB4 .