Jose Mourinho's side are currently one point behind their neighbours and face a tough test at Arsenal on Sunday.
However, the Sky Sports Premier Predictor - which uses an algorithm to rank results, previous performances and the difficulty of upcoming fixtures - says United will win that game at the Emirates and finish the season with 73 points, one ahead of City.
The Predictor also expects Chelsea to wrap up the title, but says at the other end of the table Middlesbrough and Swansea will be relegated with Sunderland.