The Austrian boss is in the process of talking about the club regarding a new deal, but nothing has been signed.
The Saints are also working hard to restructure various aspects of the club, including the youth setup, to suit Hasenhuttl's preferences.
And The Independent claims that the club is confident they will come to an agreement with the manager over a new deal.
Hasenhuttl has a deal that runs until 2021 at present, which would see him through to the end of next season.
The club and Hasenhuttl are relaxed about the situation, as they believe it will work out in the coming weeks and months.