Palace's survival hopes were dented by a 2-0 home defeat to Manchester United on Saturday, which left Tony Pulis's side just two points clear of the relegation zone, but they could leapfrog the Swans with victory at the Liberty Stadium and the forward is confident that their attacking options will prevail.
"Swansea play nice football and did ever so well against Napoli [in Thursday's 0-0 draw in the Europa League]," Ince told The South London Press.
"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?
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"It's different when you play Manchester United because they keep the ball so well. Swansea play similar but are probably not as effective.
"They haven't got the Wayne Rooneys and Robin van Persies who, when you do give them the space, will kill you off. We have to nullify what Swansea do and then play our own game. I'm sure Swansea won't be able to handle what we do."
Palace's season hit a turning point with the appointment of Pulis, who - since taking over in November - has given the Eagles a fighting chance of staying up after looking like relegation certainties under Ian Holloway.
Ince feels that the battle against the drop will be a close-run fight but has faith that his side can pick up the required points at home.
"We've got some games we feel we can pick up some points," the England Under-21s international declared. "It probably will go down to the wire but we're confident that, on our patch, we can cause other teams problems.
"Against Manchester United you take it on the chin. Swansea will be a totally different kettle of fish."