The winger has torn a muscle and will be sent back to Stamford Bridge, according to HLN.
Kylian, like in-demand brother Eden, has just one season left on his Blues contract and faces a fight to secure a new deal.
Chelsea signed the second-youngest Hazard brother from Hungarian outfit Ujpest in 2017.
They also had middle sibling Thorgan, 26, on their books between 2012 and 2015 but he made no appearances for the club before joining Borussia Monchengladbach.
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