West Ham think that, should they secure a place in Europe next season, Lingard will stay put.
Yet suitors are unlikely to be short in supply, with Arsenal, Roma and Marseille also being linked in recent times.
Speaking recently, Lingard opened up on his difficult time at United – bravely admitting he contemplated taking a break from football.
“It feels like you’re not the same person, I feel like I wasn’t Jesse Lingard,” he said.
“Even in football matches, I felt like the game was just passing me by, like I just didn’t want to be there – it was crazy.