The Eagles were impressive when scoring a 3-1 home victory over West Bromwich Albion earlier in the month when newcomers Ince and Joe Ledley were on target along with Marouane Chamakh.
The weekend's meeting with Manchester United was not as successful with the south Londoners losing 2-0 at Selhurst Park but winger Ince, on loan from Blackpool, believes Palace can really take it up to Swansea despite their impressive showing against Napoli in the Europa League late last week.
"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.
"They will want to play their fluid type of football and be expansive but look at the amount of times we counterattacked West Brom.
"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 currently sit 16th on the table, two points above the drop zone, as they prepare to travel to 12th-place Swansea this Sunday.
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