The Dane has worked wonders since taking over last summer and has moved the club on to another level, something most felt impossible after the fine work done by Brendan Rodgers.
Swansea are going well again in the league and have reached a Cup Final for the first time in their history so it is easy to see why Jenkins is keen to secure Laudrup's future.
The Swans boss only penned a two-year deal and made it clear at the time that he would not stay at the club long-term, but Jenkins still wants him to at least sign a one-year extension.
"I think Michael has made it clear that he is happy here and that things are going along well," Jenkins revealed. "But he has also made it clear that he is not here for life either, so I think there's a balance to be found.
"If we can get through next season and then get another year out of Michael as well, so that he has spent three years with us at the very least and the club has moved forward, I think personally that would suit both parties."