The Dutchman is about to enter the final year of his contract with the Premier League side.
The Saints boss will begin the final year of the three-year deal he signed in 2014 at the start of the season, and Sky Sports claims that he has been linked with potentially moving to Barcelona in the future, having enjoyed a successful spell with the Catalan giants during his playing days.
But Krueger has moved to assure the club's supporters that the Dutchman will be going nowhere.
"Next year? I'm really, really confident he will still be manager," he told Sky Sports. "Beyond that, those are the conversations we're having now and they're really good. I like where we're at. We're in a whole different place than where we were a few years ago.
"It's a much more mature time for Southampton. For me if I was manager here I would be really excited about being here and the conversations we're having seem really good.
Despite taking over when many were tipping the south coast side for relegation from the Premier League following the departure of a number of first-team players in a short space of time, Koeman led the side to seventh place in the top flight, which saw them qualify for the Europa League.
And while last season's performance has seen expectations rise somewhat, they stand a strong chance of finishing this term in a similarly high position in the league. With five games to go, they sit in the same place they finished last season and many Saints fans may feel that their chances of remaining around the top half in future will depend on Koeman sticking around.