I-94 expired but i-797 is valid till Aug 21st 2020

Hi There,

My I-94 is expired on 06-02-2020 due to old passport expiry. Due to COVID my new passport renewal got delayed. My current I-797 is valid till 08-21-202 and the employer is in the process of extension. I reached out to the local CBP deferred inspection site in Milwaukee and they are suggesting to cross border or apply I-539 which is not valid for H1B. Is there anyone who faced similar situation?
Any Insights will be much appreciated.

Thanks,
Gowtham Reddy

Gowtham,
There are many in your kind of situation, usually you should have got it done before expiry, but I can imagine with COVID. Check article below, it has many experiences in comments.