The Silky Swans forward missed most of last season through injury, but his 2012/13 form for the South Wales club earned him much praise.
Signed for just over £2m from Rayo Vallecano, Michu netted 19 goals in his debut campaign at the Liberty Stadium, which was enough to earn him a call-up and appearance for Spain despite the wealth of talented option the country possess.
Sherringham has recently been drafted in by Sam Allardyce in a bid to aid the club’s desire to play more attractive football, and the former Manchester United man believes that the versatile goalscorer would be a wise addition.
The Hammers may act on his advice by mounting a £6m offer, yet it remains unclear as to whether or not Swansea will accept.
The 28-year-old barely featured last season, which came as a blow to the club with he and Wilfried Bony having been expected to fire up a lethal partnership.