After finding himself in and out of the Saints starting lineup this season, Gabbiadini has been linked with a return to Serie A during the summer transfer window.
However, the Italian's representative has said that the striker will not give consideration to any transfer until after the conclusion of the season.
Pagliari told RMC Sport: "Right now he's focused on staying up with Southampton. He doesn't have his head elsewhere. In a month, the league will end and after that we'll see."
Gabbiadini has scored four goals in 11 starts and 16 appearances in England's top flight this season.