Per IRS: 

IRS streamlined the number of documents the agency accepts as proof of identity and foreign status to obtain an ITIN. There are 13 acceptable documents. Each document must be current and contain an expiration date. IRS will accept documents issued within 12 months of the application if no expiration date is normally available.  Documents must also show your name and photograph, and support your claim of foreign status. 

I have no personal knowledge of an application with expired documents, but from the above instructions, it seemed as though the visa has to be current.  However, if no other documents are available, and the applicant can show the pending USCIS extension, perhaps it may worth a shot.  Keep the community posted if that's how they end up proceeding.