My husband is more or less the same, difference is, he was unemployed for much longer time (> 5 years).
Another difference is he's a good father, love his kid very much! That's the key reason I still tolerate him.
So, my advice to you is think carefully that does he mean something to you and your children. If both of you live happier without him, let him go.
Otherwise, try harder to get him a job.