The four-time Tour de France winner, 40, was airlifted to hospital following the crash, which took place while he was training in France, his team announced on Thursday.
An update was posted on his social media account on Friday, which said: “We can confirm that Chris has successfully undergone surgery following his recent injuries.
“The procedures went as planned, and Chris is currently recovering in hospital under the care of his medical team.
“He is in good spirits and grateful for the excellent medical support he has received.
“Chris and his family would like to thank fans, friends, and the cycling community for their concern and kind messages during this time.”
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