From the W7 instructions. Link to instructions. 

chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://www.irs.gov/pub/irs-pdf/iw7.pdf

"Dependents. A passport that doesn’t have a date of entry into the United States won’t be accepted as a stand-alone identification document for dependents, unless they are from Canada or Mexico, or are dependents of U.S. military personnel stationed overseas