Dutch boss Louis van Gaal is set to make his move to Old Trafford official once his duties with the Oranje at the World Cup are done, and overhauling his inherited squad is set to be his first major task.
He is understood to have handed the club a list of major targets, with the 29-year-old’s name near the very top.
Van Gaal coached the Germany international while at Bayern, and is known to be a massive fan of his abilities after overseeing his transformation from a winger to an all-round midfield star.
It is understood that the 2012/13 Premier League champions are ready to lodge a £20m offer in the coming days, which they hope will end with more success than their pursuits of fellow big names from the Bavarians such as Arjen Robben, Toni Kroos and Thomas Muller.
Schweinsteiger is seen as a hero at the Allianz Arena, but United are confident that they can convince him to become the focal point of their engine room as they plan to recover from a disastrous 2013/14 under David Moyes.
Bayern may also be tempted to cash in on the payer, who is now entering the latter years of an impressive career.