The Chelsea star suffered the injury during Belgium training yesterday when he caught his studs in the turf.
The 26-year-old flew back to London and was operated on by Belgium's national team doctor Kris Van Crombrugge.
And Van Crombrugge told Belgian outlet VTM News that Hazard would be back around mid-September, which means he will miss the start of the Premier League season.
He said: "Hazard suffered a fracture in the bone. Thankfully not in the shin.
"Ligaments can in this kind He quickly cracks, but the scan only showed minimal lesion at the ligaments.
Chelsea fans worried about Eden Hazard's injury Mon, June 5, 2017
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"The damage is really very limited, which means that his rehabilitation will run smoothly. It is one hundred percent right."
He added: "He will recover in about three months. Eden knows this is very realistic. He remains optimistic, even after this trauma. He will return as a top player. In three months he will just perfect."
The news will be a huge blow to Chelsea boss Antonio Conte and could force him into the transfer market.
Eden Hazard will miss the start of the Premier League season
Speaking before the injury, Hazard raised the possibility of moving to Real Madrid if an offer was made by the Champions League winners.
He said: “Of course, that’s all. We all dream. Of course, I would consider it if Madrid made an offer.
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“I am keen to win trophies. It would be great to win the Champions League. But Chelsea’s goal is to win the Champions League as well.
“Honestly, I do not know what will happen. I only know that I still have a contract with Chelsea for three seasons and that we just had an amazing campaign. We want to continue on this path and want to build on this in the Champions League.”