The Morocco international had targeted the derby with Mikel Arteta’s struggling side after limping from the win over Leeds with a hamstring tendon earlier this month.
Callum Hudson-Odoi, who also suffered a similar injury, has already returned to the squad for Monday’s game against West Ham.
But Ziyech is expected to stay longer in the treatment room after already missing the start of the season with a knee problem.
Frank Lampard said: “You have to wait to recover. This is not a long term concern and we hope to see it again in the next week. And I hope he can offer what he did before because he was offering great things.
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“We missed that in a way, but that’s football and that’s what happens when players play at a high level every two or three days.”
Reece James and Ben Chilwell are also battling to be involved in either of the games after Christmas – Boxing Day or the clash with Aston Villa 48 hours later.
James was rested against West Ham with a knee problem, while Chilwell injured his ankle in that game.
Lampard said: “They’re both questionable so I can’t give you an answer just yet. We don’t know if they’ll be fit for either game. ”
Chelsea Predict XI (4-3-3): Mendy; Azpilicueta, Zouma, Thiago Silva, Emerson; Havertz, Kante, Mount; Werner, Abraham, Pulisic.
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