The Scotland international has struggled for regular game-time this season following Michael Carrick’s return from injury, Marouane Fellaini’s fine form and the arrival of Ander Herrera, and as a result Fletcher has been linked with a move away from Old Trafford.
The latest report claims both the Hammers and West Bromwich Albion are interested in the 30-year-old, who has made 338 appearances for United but whose contract expires in the summer.
With only six months left on his current contract and minutes at a premium, it would be no surprise if he moved on this month and West Ham would be wise to make a move for a very simple reason.
The Hammers are on the verge of an outstanding season, and they must do everything in their power to ensure they maintain their current form for the rest of it.
With Cheikhou Kouyate currently on Africa Cup of Nations duty with Senegal, West Ham could do with an additional midfielder who knows the Premier League well.
They will also want to ensure that even when Kouyate returns in February, that Sam Allardyce has enough quality at his disposal to deal with the injuries and suspensions that often pile up at the business-end of a campaign.
In Fletcher, Allardyce would be signing a player who needs no settling-in period and who is at an age where he still has plenty to give.
A tenacious fan favourite at Old Trafford, the player with 68 Scotland caps could help West Ham ensure this season is one to be remembered right to the end; so for what is likely to be a relatively small fee, why wouldn’t they make a move?