The Blues are in the market for a new back-up to Thibaut Courtois with Asmir Begovic keen to move to Bournemouth.
The Cherries have lodged a £10mllion bid for Begovic, but Chelsea will only let him go if they can find a replacement and have already been turned down by Spain international Diego Lopez.
Gordon is another target on Antonio Conte's list, but Rodgers has previously insisted the Premier League champions-elect are wasting their time pursuing the Scotland international.
Gordon is believed to be tempted by a move to Stamford Bridge but Celtic now plan to offer Gordon new terms to ward off the Blues.
"Yea, [Gordon] is very much a part of what we're trying to do here," Rodgers told Sky Sports after Celtic's 4-0 win over Hearts on Sunday.
In Pictures | Chelsea vs Brentford | 28/01/2017
"There's no way I can replace a player of his quality and how he's developed over the last six months has been fantastic.
"I really wan him here, get him to a new deal and then we can keep continuing and move the whole club forward."
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