The Liverpool midfielder missed last Monday’s FA Cup defeat to Wolverhampton Wanderers due to a minor injury and will again be absent from the Premier League leaders’ squad to face Brighton and Hove Albion on Saturday.
However, Klopp believes Lallana will be fit for Palace’s visit to Anfield in seven days’ time.
“We are in close contact and it's just a shame for Adam,” the boss said.
“It's not serious, he'll probably be available for next week. It was only a little thing but it was enough to put him out of the Wolves game.
“Of course it's not nice, who would like that after the season he's had?