The 24-year-old, who pulled out of England's World Cup qualifiers against Moldova and Ukraine, has been named in Brendan Rodgers' squad for the trip to the Liberty Stadium for the Sky Live clash.
"I was a little surprised," Laudrup said. "We talk about a young player, a huge talent, and I am sure he would have played in a crucial game (for England) the other day.
"But he was injured and yet 48 hours later he is fit to play against us. I hope he plays as I want to play against Liverpool with their best players.
"But when we talk about England and young players and the importance of the game (in Ukraine), I was surprised to read less than 48 hours after such a crucial game that he is fit to play against us.
"I thought there were some rules that if you were injured you couldn't just play with your team three of four days later.
"But that's none of my business, I am just taking care of Swansea."
Sturridge has been key to Liverpool's victories in their first three Premier League games and Laudrup has been impressed by their start.
"They have had a great start, three games and nine points," he said.
"I like the way they play, you can see how they want to play and it was clear during the second half of last season.
"They are very good in possession and have brought in some very good players like Philippe Coutinho, Iago Aspas and Sturridge."
Swansea v Liverpool is live on Sky Sports 1 on Monday from 19.00