The Swansea chief made the comments after the former Denmark international came in the top three of a poll of managers who Real Madrid fans would like to see succeed José Mourinho.
The 48-year-old, who spent two seasons as a player at the Bernabéu, replaced Brendan Rodgers in June and has made a solid start, with the Swans currently in ninth place in the Premier League table.
Jenkins is not surprised that Laudrup is getting the plaudits for an impressive Swansea reign so far – and he is confident the former Mallorca manager will see out his deal, which expires in 2014.
“He’s doing very well this season, I fully expect him to be with us and see through his contract with us,” he said.
He added: “Michael has settled in very well. After losing Brendan [Rodgers] we had big changes in the summer that we had to cope with and things have gone very well.
“I don’t think you could have wished for a nicer person to have come in as manager than Michael Laudrup.
“I think match-by-match tactically and the way he puts our team out and the way we approach different games he’s getting better and better and quite rightly so he’s going to make headlines himself.”
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