The Hammers, who have the chance to leapfrog their opponents on Sunday, have a slight advantage due to Swansea competing in the Europa League on Thursday, but Sam Allardyce's men have been struggling to find the back of the net having clinched just one win in their last six.
The Swans are unbeaten in three games in all competitions on home turf, but West Ham, who lost 3-1 to Manchester City last weekend, were successful in their last fixture on the road when they defeated Tottenham Hotspur 3-0 at White Hart Lane.
Swansea skipper Ashley Williams has returned to training following almost five weeks out with an ankle injury, but Laudrup may opt against starting the defender.
Swansea City: WDWLLW
West Ham United: LDLLWL
Possible starting lineups
Swansea City: Vorm; Rangel, Chico, Amat, Davies; Britton, De Guzman, Michu, Dyer; Routledge, Bony
West Ham United: Jaaskelainen; Demel, Rat, Noble, Tomkins; Reid, Downing, Nolan, Diame; Morrison, Vaz Te
Sports Mole says: 2-0