The Hammers take on Blackburn Rovers at Ewood Park on Sunday.
The Championship high-flyers are hoping that the winger will be able to strengthen their promotion bid.
Liverpool are already targeting players to sign in the summer transfer window.
Aston Villa were beaten 6-0 by Liverpool on Sunday.
The Newcastle United owned Slovenian is currently on loan at Wigan Athletic.
Blackburn Rovers have signed Jordi Gomez on loan from Sunderland for the rest of the season.
Rangers beat Kilmarnock 2-1 at Rugby Park on Tuesday evening.
Tottenham fans believe Mauricio Pochettino should be sighed to a new contract.
Victor Moses has been a great impact player for West Ham this season.
Oumar Niasse is hoping to make his Everton debut against Bournemouth this weekend.
Sunderland are looking for a successor for Dick Advocaat.
The Australian would like to see the under-fire Liverpool manager remain in charge, and alluded to football history from a rival club.
Having been released by Brentford this summer, the 52-year-old may now be tasked with helping Rangers achieve promotion to the Scottish top flight next season.