Goal understands the midfielder has been in talks with Swansea City, Palace and Hull City over a loan move, with the Eagles hopeful they can capture his signature before the window closes.
“There are a number of deals ongoing. I'd like to sit here and announce we've done more, but they are ongoing at the moment,” Kemp told reporters.
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“On this day in particular, a lot can go on. I'd like to say it's going to happen but you never know in football.”
Palace have already been active on deadline day bringing in Wayne Hennessey from Wolves and completing the permanent signing of Jason Puncheon.
However, Kemp says there could be even more players arriving with the club currently still working hard on several transfers.
“A striker is obviously a target. We are looking to sign one, but I can't announce anything at this stage,” he added.
“There are a number of deals ongoing. I'd like to sit here and announce we've done more, but they are ongoing at the moment.”
Palace are currently 14th in the table, four points off the drop zone, and face Arsenal at the Emirates Stadium on Sunday with Kemp confident the Eagles can compete with the high-flying Gunners.
"We've played well against the big teams but the next step is to take points from them," he said. "This club has come out of the Championship but Arsenal have been there forever. That doesn't mean we can't go there and do something."