The Baggies face QPR in the third round.
"I said when I came here I would try and do well in the cup competitions and I see nothing to change that," said Clarke.
"I might have to rest one or two players just because that's the stage of the season we're at.
"Fingers crossed we'll get one or two of the injured players back.
"I'm not 100 per cent sure that will happen but it would be good if they did just to lessen the workload on some of the boys who are playing all the time."