How cold does it need to be to damage hoses?
Can you turn off the water supply to the hose? Or is the tap at the "business" end of the hose?

If it's the former then you can turn off the supply to the hose and leave the tap at the end of the hose open. This means that if there is any water left in the hose it will a) drain away and b) (more importantly) be able to expand safely along the length of the hose if it freezes.

So as long as there aren't any kinks in the hose it should survive the winter.