The 22-year-old was only rewarded with a new four-year contract less than a year ago, but he looks set to be given another extension due to his recent performances.
He is also set to see his wages double up to £50,000-a-week, with the goalkeeper now expected to be part of the England squad ahead of Euro 2016.
United, along with a host of other clubs are said to be monitoring his situation, but Butland could decide to stay given his regular role as the first-choice selection under manager Mark Hughes.
The Potters currently sit eighth on the Premier League table, five points away from the Red Devils in fifth, as they still have a chance of European qualification.
Butland has already featured 31 times in all competitions this term and has so far managed to keep 11 clean sheets.