Italian transfer expert Fabrizio Romano reports the Blues want to reward Zouma for his fine form this season.
Speaking on the Here We Go Podcast, Romano said: "There are no negotiations right now.
"The Chelsea board are thinking of offering a new contract to Zouma.
"They will start to talk with Zouma, they expect to talk with Zouma to extend his contract.
"He has two more season left on his contract at Chelsea, but they want to extend the contract. Zouma is a priority."
The defender's deal isn't set to expire until 2023, but Chelsea want to tie the defender down to a new long-term contract to avoid any chance of a deal proving difficult to do in the next two years.
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