Schweinsteiger, 30, is out of contract in less than 18 months and has said that he is no rush to sign an extension, amid the Telegraph reporting interest from both former manager Louis van Gaal’s Manchester United and Chelsea.
The German national team captain has seen injuries limit him to just 15 league appearances this season and, with Pep Guardiola since moving to a three-man midfield of Philippe Lahm, Thiago Alcantara and Xabi Alonso, could now be expendable at the Allianz Arena.
Compatriot Dietmar Hamann has even argued that he should leave the Bundesliga champions this summer and, while that suggestion might be somewhat premature, a future elsewhere for the one-club man does seem possible.
In addition, Schweinsteiger admitted his interest in a stateside switch to the LA Times back in February, telling the newspaper: "The quality is going to be better and better. And I could see that.
"We will see what happens in the future. But to be honest, I like the States."
A move across the Atlantic next summer perhaps doesn’t seem so farfetched then, but whether reports including specific teams can be trusted at this stage is up for debate.
At the moment, the Red Bulls have one of the league’s strongest midfield line-ups, in skipper Dax McCarty, Felipe Martins and Sacha Kljestan, but Jesse Marsch’s side also have two Designated Player slots open for potential big-name additions.
Much could change between now and 2016, of course, but, with Turkish outlet Haberciniz also citing the club’s interest in the 109-times capped World Cup winner, it would be wise to watch this space.