My girlfriend has one of the low end Ink cards, and I've successfully transferred points from her account to my Sapphire Preferred account, and then from there to my Mileage Plus account.

In your husband's Chase account, go to manage ultimate rewards -> combine ultimate rewards points and then enter your Sapphire preferred card info.
Transfers between Chase accounts are basically instantaneous and (last year anyway) appeared to be treated like earned points for the 7% bonus dividend at the end of the year for some people.