Jenkins told BBC Radio Wales Sport he was confident Laudrup would not follow previous managers Roberto Martinez, Paulo Sousa and Brendan Rodgers by leaving before the end of his contract.
"He's come here to do a job for a few years to try and progress our football club, which obviously he's doing very well this season," insisted Jenkins.
"Ultimately he's not here to promote himself, he's a worldwide figure in his own right as a player, and I think he's got time on his side to develop anything else he wants to do in management."
And Jenkins, whose track record in recruiting a string of well-respected managers to South Wales is earning him a reputation, was confident enough to joke about Laudrup being linked to the Real Madrid.
"I did see that and I saw Michael about it. I just made one condition - that he takes me with him as well!"