The Hammers have won just twice in 2015, and manager Sam Allardyce is now expected to leave Upton Park this summer when his contract expires.
With West Ham looking to kick on ahead of their move to the Olympic Stadium in 2016, a number of big name managers have been linked with moves to East London as Allardyce's replacement.
The London Evening Standard recently reported that Slaven Bilic, David Moyes and Rafael Benitez were all under consideration, but now a new name has been thrown into the mix.
The Daily Star believe that the Hammers are now considering Swansea boss Monk as a 'serious candidate' ahead of the summer transfer window.
Monk, 36, is one of the brightest up-and-coming managers in English football right now, and has taken Swansea into eighth place so far this season.
Even after losing striker Wilfried Bony to Manchester City in January, Monk has kept Swansea moving forward, even beating Manchester United in February.
The report suggests that West Ham are interested in Monk after his impressive season, whilst his compensation fee to take him to Upton Park would be less than with other targets.
Monk is now a name to keep an eye on in the coming weeks, as West Ham's managerial search becomes clearer - especially when, if as expected, Allardyce leaves.