Rossi had travelled to Colorado to meet with Professor Richard Steadman, a specialist knee surgeon, and the American doctor believes he could be back training in two months.
Earlier this month, the anterior cruciate ligament in Rossi's right knee was injured following a hard tackle from Livorno's Leandro Rinaudo and fears were the 26-year-old Italian striker would need another reconstruction.
"The medical examination carried out on Giuseppe Rossi by professor Richard Steadman a short time ago revealed that the player's knee is showing a good level of stability following his recent injury," read a statement from Fiorentina.
"The striker will proceed with his programme of conservative therapy aimed at facilitating neuromotor recovery over the next two months then undergo further tests before continuing his rehabilitation on the field."
"I am morally relieved after the meeting with Professor Steadman," Rossi wrote.
"Now I will have to work as hard as I can in rehabilitation. I'm always by your side. Forza Viola."
