If its only a small hole, you'll be fine.
Just be careful combing & brushing until you get the chance to detach and repair.

You'll need some 'see-thru' nylon thread and a needle.
A quick stitch to catch up the frays and stop it spreading further (done from underneath) will solve the problem.
For a larger hole, (rather than gather up too much of an area) you can patch it using a small piece of surplus lace that was originally at the front of the piece.

This is the sort of thread I'm referring to:
http://www.grain-sewing.com/productdetails.asp?Id=349