As long as you are present at the counter to physically rent the car, It should be no
problem for your only your husband to drive, as long as he meets the additional driver
requirements set forth by the particular company that you rent from. See
Company Specific Car Rental Additional Driver Policy
He (and anyone else whom you may sign onto your contract) is always considered an additional driver, even if you never drive the vehicle. Even when you rent a car without driving it you`re the renter. When you rent a car with a credit card in your name, you are
responsible for the vehicle and must also meet the minimum age and drivers license requirement. Any additional drivers that you wish to have drive the vehicle must meet the same requirements. He must meet the minimum age requirement, have a valid drivers license and a credit card in his own name. He will be required to complete and sign an additional driver form at the rental counter.
Keep in mind that some car rental companies may charge an extra fee for a spouse to drive, while some do not.
Pages from this site, relating to this topic:
Car Rental Drivers License Requirements