First vacuum the excess hair off. Then, grab a pan of water and put on a pair of latex gloves. Dip your gloved hand into the water and shake off any excess. Simply run your hand over the upholstery. The hair should stick like a magnet. Wipe the hair from the glove and repeat the process.
Caution: Damage could occur if the fabric is not water cleanable and you get it too wet. The key here is to only get the glove damp, not the fabric.. You may want to test the fabric in an inconspicuous spot to insure that no damage will occur.