Jasmin decimated by sheep

We were out for the day in January and sheep got into our garden for a few hours. They ate pretty much everything but most things are coming back ok.

I have a lot of Jasmin climbers and whilst I can see green when I scrape off some bark I see no signs of any new folage coming. Are they likely to make a come back?

 

Looks ok to me, just a bit 'pruned'. From the photo, it does look like trachelospermum jasminoides rather than jasminum species or cultivar, so a bit slower to recover.

 

If it's green under the bark it's still alive but may take a while to recover.