WWE NXT is expected to move to Tuesday nights following WrestleMania 37. As of now, the date for the move is set for April 13. The reason for it is due to Wednesday night NHL games airing on the USA Network.
The current production calendar lists WWE NXT to be held and air on Tuesday, April 13. So all signs point to the move happening.
Pwinsider reported on Tuesday that the WWE production schedule for April 2021 lists the weekly NXT TV show for Tuesday nights every week following WrestleMania.