Inzaghi was expected to miss the rest of the season after rapturing ligaments in his left knee.
“I will treat this like I have always have when I have been injured,” he told Milan Channel.
“I am living a great moment, especially after the game against Real Madrid.
“But, at 37, coming back is always tough. However, I will try my best to come back better.
“Will I be back in July? I could be back in April, but we will see what happens.
“I want to return to celebrate something important with the team. We are very strong and we want to win something.”