The one time Spanish cap is said to be available for transfer from the Welsh club, with the Hammers considering adding him to their attacking ranks.
The Evening Post state that the 29-year-old would be available for as little as £4 million, a far cry from the £25 million the paper quote as being his value two seasons ago.
Sir Alex Ferguson famously joked that he would have a word with the Manchester United scouting department, after the division's top clubs failed to pick up on a player with undoubted attacking talent.
But since that season, things haven't been as easy for Michu, and his next campaign at the Liberty Stadium was a far more muted affair, mainly on account of an ankle problem.
Last season he was on loan at Napoli under Rafa Benitez, but things went even worse for the forward, and he made just 6 appearances, with his ankle again giving him problems.
What would be the benefits of West Ham signing Michu?
If the Spaniard can get anywhere near the quality he exhibited two seasons ago, and at 29 he is plenty young enough to do that, then the reported £4 million fee would be an excellent piece of business, and well worth taking a risk on.
Michu can play in any central attacking position, and he would be a decent alternative to the more expensive strikers the Hammers have been linked with in recent days like Charlie Austin and Demba Ba.
However, while doubts remain about his fitness, West Ham should be careful about expecting Michu to be able to make an immediate impact were they to sign him, instead being open to bring him in as a replacement for Carlton Cole, with a hope that he can be gradually brought into the first team picture.