The 31-year-old, who retired from international football earlier today, only managed 18 Premier League appearances in an injury-hit first season at Manchester United.
Jose Mourinho is reportedly looking to trim his first team squad to just 23 players in an attempt to form a tight, cohesive and dedicated unit.
With the signing of Paul Pogba set to be completed this week, Schweinsteiger could be forced to head the other way after just one season at the club.
Despite failing to take the Premier League by storm last season, the German is still something of a fans’ favourite. He exudes a level of calmness and professionalism, has experienced football at its highest tempo, and can offer words of wisdom to less experienced members of the squad (Pogba included).
Letting Schweinsteiger leave after one below par season would be unfair on the 31-year-old. The German may not offer the energy and intensity required by Mourinho, but as a voice in the dressing room he is valuable.
And as someone to bring on with 20 minutes left to see the game out, who could be more valuable than Schweinsteiger? Mourinho ought to give the 31-year-old a chance to display his immense worth before making a decision over the midfielder’s future.