The 48-year-old manager says that he could make a move to bring the attacker back to the Liberty Stadium, as his side need to supplement Michu with more goals next season
The winger, who left the Welsh outfit in a deal worth £6.2 million, has been largely unused by Roberto Mancini and is not certain to travel with the squad when the sides face each other at the Liberty Stadium on Saturday.
There is speculation that Mancini will listen to offers for the player this summer, while Laudrup says he needs more support for striker Michu if they are to kick on from what has been an impressive second season in the Premier League.
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"We have other players who can play that position that we are looking at. But [Sinclair] has quality and he has already shown it and we will see what decisions we make on that for the future.
"Good players in his position are always an option and he has a British passport which is another thing we have to look at in an overall perspective."
During his time at the club, Sinclair was an instrumental part of the promotion winning squad, scoring on 27 occasions. He added a further eight goals in the club's first top-flight season, catching the eye of those at Manchester City.
Despite leading his club to ninth place in the Premier league and winning the Capital One Cup, Laudrup is under no illusion of the task that lies ahead at Swansea.
"We have to make some decisions when we start talking to people about what is possible and what is not," he added.
"Because it is one thing having names on paper and another when you start talking about salaries, transfers and all that."