But the 22-year-old wouldn't be a worthwhile signing for the east London club.
Indeed, there's been a mixed reaction to the rumours or Twitter, with many West Ham fans suggesting Depay isn't worth the hassle.
Others, however, seem to feel Depay could succeed during his second season in England despite his debut campaign being a poor one. By that logic, Kevin Nolan could succeed at West Ham because he wasn't good enough this term...
According to the Daily Mirror, the young winger arrived at Old Trafford last summer for a £25 million fee but could already be offloaded by Manchester United.
The question you have to ask yourself is why.
The answers are clear for all to see. Depay's attitude has been awful. His form has been far from good enough. And, for £25m, the Dutchman has looked closer to a value of £2.5m.
There is no evidence to suggest he'll succeed with the Hammers. West Ham already took a gamble on the likes of Victor Moses and Emmanuel Emenike this season - and even they were only on loan.
Signing rejects from clubs like Manchester United isn't the right way to greet West Ham's first season at the Olympic Stadium. Time to think bigger and better.