The Italian was high-sided off his Yamaha during Saturday morning's practice at Mugello ahead of last Sunday's Italian MotoGP Grand Prix.
He suffered a fracture to his right tibia (shin bone) and had corrective surgery on Sunday and again on Monday.
Dr Roberto Buzzi, head of Trauma at the CTO Careggi (Centro Traumatologico Ortopedico) in Florence, Italy, issued the following statement:
"Today Valentino underwent another small operation to close the wound, which is looking good. We closed it with 15 stitches and our overall medical judgement is positive. We used a short general anaesthetic and when he woke up he was in good shape. The healing process of the injury is going well and as expected in Valentino's condition."
Rossi is not expected to make a return to racing for several months.