The 25-year-old, who signed for Southampton for a then club-record transfer fee of £12million in 2012, moved to Boro in a loan move in January.
Ramirez is in the last year of his contract with the Saints and will be a free agent in the summer.
The Uruguayan international said: "If Boro get promoted would I talk about staying? Why not?
"At the moment I am only thinking about this team and winning the Championship and going up. But after that...
"I feel I am good enough to play in the Premier League. I am fighting for that.
"I want to show that I can play at the top level. I want to show good I am. That is my ambition."
The former Hull City loanee has scored three goals in six league appearances for Boro, including a brace in the 2-1 win over Wolves on the weekend.
The Teessiders currently sit second on the tier two table, a point behind Burnley.