batgirl
It sounds as if your husband is receiving Contribution Based ESA. ESA(CB) is only payable for 365 days if the claimant is not in the Support Group.
You should contact the DWP to see whether they can prioritise your husband's assessment so that it is done before his payments stop.
You should also check whether you would be entitle to payments of Income Related ESA. ESA (IR) is dependant on your household income, your savings and assets, and any hours that you work. See
Asset rule for ESA(IR) 24 hour work rule for ESA(IR) If you are then payments will continue after your husbands ESA(CB) ceases.
Gordon