Doherty, 24, came up through the youth ranks at Luton and can play at centre-back or up front. If the transfer is completed in time he could make his debut against Manchester United on Saturday when Norwich travel north to Old Trafford.
The Republic of Ireland international has been on duty this week with the Irish squad, playing the first 45 minutes in their 1-1 draw with Bulgaria. He was unlucky not to get on the score-sheet when his header flashed just over the bar from a corner.