The talented youngster has impressed at the World Cup so far, earning plaudits for his energetic displays that have helped Argentina reach the quarter-final stage. He also found the back of the net in their final group game against Nigeria.
According to recent reports, Liverpool are keen on securing his services this summer. He is likely to cost around €20 million, and is reportedly viewed by Liverpool boss Brendan Rodgers as a viable alternative to Alberto Moreno, who has been deemed as too expensive.
The Reds have real problems at full-back which Rojo could solve, while the fact that he can also play at centre-back is a huge benefit too.
However Liverpool are unlikely to have it all their own way with a host of teams interested in the young defender - and now it seems their task has just got even harder with Chelsea now in the race for his services.
Portuguese newspaper A Bola say that Chelsea boss Jose Mourinho is looking at Rojo as an alternative to Filipe Luis, who has been heavily linked with a move to Stamford Bridge but has been unable to seal his switch despite his pleas.
A problem that both Liverpool and Chelsea will face is the fact that Sporting only own 25% of his economic rights - which could increase his price.
Also if either club does push ahead and try to sign him they would have to buy him outright as third-party deals are not allowed under Premier League rules, so they would have to negotiate with his investors as well as Sporting.