The Brazilian spent last season and half of the 2017/18 campaign on loan at Newcastle, but the Magpies opted against signing him this summer.
And fearing that he is not in Frank Lampard's plans for 2019/20, Kenedy is now exploring the possibility of leaving the club in the next fortnight.
However, Chelsea would prefer to extend the winger's contract - his current deal expires next summer - and then loan him out.
That is the approach they took with Davide Zappacosta, who penned fresh terms with Chelsea before agreeing a temporary switch to Roma this week.
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