Does a social security card with valid to work only with department of homeland security authorization expire?

Yes, a Social Security card marked "Valid for work only with DHS authorization" does not have an expiration date itself, but the authorization to work may be temporary. The individual must maintain valid work authorization from the Department of Homeland Security (DHS) to continue working legally. If the DHS authorization expires, the individual would no longer be eligible to work, even with the Social Security card.