The Gunners host the Swans at the Emirates Stadium on Tuesday night and caretaker manager Monk believes Arsene Wenger's men will come out firing after their embarrassing display at Stamford Bridge.
"We expect a reaction from them," Monk told reporters.
"They're up there in the league and pushing for a different reason [to Swansea] and we expect a reaction from them.
"That's the message to my boys this morning and we'll try and go up there with the right attitude and put on the right performance to come away with something.
"But it's a very tough game, very tough team and we're in for a very, very hard night."
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