The 24-year-old had to pull out of England's World Cup qualifiers against Moldova and Ukraine because of injury, but it appears likely he will play for Brendan Rodgers' men at the Liberty Stadium on Monday.
But, given the current discussions over the travails of the national side and the opportunities afforded to young players, Laudrup appeared sceptical when talking about Sturridge's recovery.
"I was a little surprised," he 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."
- Sports & Recreation
- Brendan Rodgers