It appears to me that USCIS is not requiring you to renew your green card. Be sure to take your expired green card to the oath ceremony to turn in.
At any rate, if you apply to renew your green card, it will take several months, at least, and it appears that you will have your oath ceremony long before you would receive the new green card.
I have had several clients become US Citizens while holding expired green cards.
Best wishes to you, and congratulations on your naturalization.
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If you have been approved and are merely waiting to be sworn in, then no.
J Charles Ferrari Eng & Nishimura 213.622.2255 The statement above is general in nature and does not constitute legal advice, as not all the facts are known. You should retain an attorney to review all the facts specific to your case in order to receive advise specific to your case. The statement above does not create an attorney/client relationship. Answers on Avvo can only be general ones, as specific answers would require knowledge of all the facts. As such, they may or may not apply to the question.