West Ham are in 13th place in the Premier League but a mere three points above the relegation zone with 10 games to place in the current campaign.
West Ham are one team who look like they may pull themselves slowly but surely away from this dogfight at the bottom.
Will Swansea recover from the Brighton hammering?
For Swansea, this meant a reshuffle which started Sam Clucas at left-back and saw Wayne Routledge getting a rare start.
The victory also marked the return of midfielder Leon Britton, who had spent the past four months on the team's coaching staff while dealing with injuries before being asked by Carvalhal to focus once more on playing. It was great to have an impact on the game with the assists for the goals.
Substitute Michail Antonio grabbed a late consolation but the result leaves West Ham with just one win from its past six games and serious defensive frailties - not helped by Reid's serious-looking injury - to address if it is to avoid the drop.
"Marko Arnautovic had a decent game at Liverpool".
West Ham are reportedly set to offer Manuel Lanzini a new long-term contract to rebuff interest from Liverpool and Tottenham.
Swansea have scored 20 of their 21 Premier League penalties. However, the scoreline could have been a little more respectable had West Ham not switched off, particularly in the second half.
Renato Sanches (hamstring), Angel Rangel (groin), Leroy Fer (achilles) and Wilfried Bony (knee) remain sidelined for the Swans.
Supporters braved the snow and ice to make the trip to Wales to cheer on their under performing team.
Moyes must continue to do without long-term absentees Andy Carroll, Pedro Obiang and Edimilson Fernandes, while Arthur Masuaku is suspended. We were hungry from the first whistle to the last and even when we were comfortably in front at 3-0 and 4-1, we still looked hungry to improve our goal difference even further. Like his club, he will now hope he can carry the momentum from cup to league when he faces West Ham on Saturday.