A second-half Juan Mata free-kick cancelled out Rickie Lambert's opener for Saints as both sides shared the points from a typical end-of-season game as Pochettino's side finished one place below the Red Devils in eighth place.
Pochettino revealed he intends sit-down talks with the club's owners on Monday.
"I want to say that I still have one more year on my contract," he said.
"It is only normal that these rumours will start cropping up. We know the rules with how these things happen in England.
"(On Monday) we will sit down and we will talk. This is the end of a five-year project, we have achieved what we wanted from this project and now a new project has to start.
"I have said that this club now deserves to be in a new project, the board has to decide how that happens, two years, three years or four years - I just want to sit down and talk and we will see what happens."
- Sports & Recreation
- Rickie Lambert