1998 Acura Integra Excessive Oil Consumption

I have a 1998 Acura Integra that has never given any problems. A couple of months ago I had the timing belt replaced by the Acura dealer as it was recommended in many forums. After the replacement, the car has started to use excessive amounts of oil. About a quart every 2000 miles. The dealer says that the replacement of the timing belt would not change anything about the oil consumption. Is this a coincidence and what should I do about it? It doesn't appear to be leaking as there are no oil stains on the garage floor.