The Italian businessman is reported to be considering his position with the Saints due to his frustration over the backing that he recieves from the trust that owns the club.
Cortese has overseen the Saints' rise from League One to the Premier League and wants the Liebherr trust to underwrite his strategy for Southampton to consolidate themselves in the top flight. A decision from him is expected in May.
| SOUTHAMPTON LATEST
|3/1||Rickie Lambert is 3/1 with William Hill to score in a Southampton win over Stoke City
"Nicola Cortese has basically been the reality at Southampton for the past four years.
"Of course, the people that are in the club, that are part of the club, that are behind the scenes in the club were a little bit worried about what has been said.
"Me, in a personal sense, I would not understand a Southampton without Nicola being here."
It is understood that Cortese's frustration stems from those in charge of the trust knowing little about football and being reluctant to commit to his strategy.
The Italian oversaw the controversial sacking of Nigel Adkins and subsequent replacement with Pochettino in January, with the Saints going on to secure top-flight football for next season.