The Swans enjoyed a 3-1 success over the Reds when they met on Merseyside in the Capital One Cup in October, putting one over on former manager Brendan Rodgers.
The Welsh club also claimed a point in the league meeting at the Liberty Stadium, and sit above Rodgers' team in the table after the Reds lost to West Brom on Monday.
Liverpool followed that reverse against the Baggies with Thursday's Europa League defeat to Zenit St Petersburg in Russia.
But Laudrup has seen signs Liverpool are becoming increasingly confident in Rodgers' methods and expects them to be a tougher proposition this time around.
"They are better now than when we played the cup game," he said.
"They have a couple of new players, we saw they have brought in (Daniel) Sturridge to play with (Luis) Suarez, and they have had more time with the new manager and understand how he works.
"I have watched them over the last five or six games before they played West Brom and they are getting better all the time."
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- Brendan Rodgers
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