The Daily Record's Duncan Castles claims a return to Old Trafford could happen for the Ulsterman.
Arsenal are in pole position to get the centre-back, but United could yet re-sign the player they sold to the Baggies for £6m in 2015.
"I think he's a possibility," Castles said.
"Manchester United will strengthen at centre-back again in the summer, I'm very confident about that.
"And as we know, high-quality centre-backs are in short supply.
"Evans is a capable Premier League centre-back who can play the ball out from defence.
"So, you could see him coming into the picture if he's still available in the summer.
"I don't think by any stretch of the imagination he'll be first-choice but it's one to think about."