Clubs across Europe are said to be tracking the full-back, who shone for Argentina at the World Cup finals in Brazil.
Southampton are rumoured to be leading the Premier League chase, with Liverpool also credited with holding an interest in the attack-minded left-back.
Napoli are also keen, with it possible that Rojo’s next port of call will be Serie A.
The 24-year-old is, however, refusing to be drawn into a debate regarding his next move, with his focus locked on Sporting until told otherwise.
Rojo told O Jogo: “Have I played my last game for Sporting? I don’t know.
“The thing I want to think about the least at the moment is whether I will stay or go."