There's very little help available for people in your position unfortunately. It's slightly better on UC because they look at it month to month so if you're going to have more than a week or two without him receiving a salary, you might qualify for something, but he will also be expected to look for work.
What skills/experience does he have and are there any agencies that he can find work with? Any chance of doing restaurant/bar type work, over Christmas period at least?
I know you don't want to borrow money, but if it comes to it, that's what you might have to do. If you applied for a 0% purchase credit card, you could use it to buy food and other essentials and pay it off over time when he is working again.
Can you also cut right back on Christmas? Very simple meal - or go to family? No more presents or paid activities, just do things that are free or very cheap? Anything you can return or sell? Can you work more while he's off work?
The other thing you could do is review your budget. See what you can cut back on or make extra money on, eg if you change your bank account you can get £1-200 free money, which will pay for a week or two's groceries.
Have a look at Moneysaving Expert and do everything that is relevant.
www.moneysavingexpert.com/family/money-help/