Ex-Swans boss Brendan Rodgers and midfielder Joe Allen are now plying their trade at Anfield but Laudrup does not believe that Wednesday's Capital One Cup meeting will hold an extra significance.
"For me this is nothing different, I want to win all the games," he told BBC Sport.
"It's at Anfield and it is a big game in a competition where if we win we can claim a place in the record books of Swansea City.
"I want to win every game we play, not only the ones where we are against ex-managers. There was one of those 10 days ago [against Roberto Martinez's Wigan] and we won that."