Last season's Capital One Cup winners came agonisingly close to progressing to the last 16 of the tournament, only for two goals in the final 12 minutes at the Stadio San Paolo to leave Monk's side deflated as Napoli won 3-1 on aggregate.
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Swansea are 4/5 with Betway to beat Crystal Palace on Sunday
A five-game winless streak has proved to be an eye-opener into the topsy-turvy nature of management for Monk whose side are just four points off the drop although they have won the last four encounters between the two sides.
Nathan Dyer picked up a heel injury against Napoli, but should be fit to face Palace, for whom Jerome Thomas (back) is available again.
Palace midfielder Tom Ince, meanwhile, has wasted little time in making an impact at Selhurt Park.
The Blackpool loanee scored on his Eagles debut in a 3-1 win against West Brom, and has suggested that Swansea will struggle to deal with Palace's attacking players this weekend.
"Swansea play nice football," Ince told The South London Press this week. "But will they be able to handle the threat we give them with Glenn Murray, Marouane Chamakh, Cameron Jerome, Yannick Bolasie, Jason Puncheon and myself?"
A look at the Premier League table suggests that Palace may not be as prolific going forward as Ince believes is the case.
In fact, no team in the top flight have scored fewer goals in 2013-14 than Palace, who have netted 18 times in 26 games. Nevertheless, the London club sit just two points behind Swansea thanks to the galvanising influence of Tony Pulis.
Pulis has won seven of his 16 games in all competitions since taking charge, a run that has propelled Palace out of the relegation zone.
The Welshman's next immediate concern is addressing the team's inconsistent streak as Palace have won and then lost the following game over an eight-match streak that stretches back to the start of January.