Sticking gas pedal on 1999 buick LeSABRE

The gas pedal has a sticking action when I first hit the gas to start and as long as I keep a little pressure it works good but if I stop and take my foot off the pedal and then if I hit the pedal it has a sticking action.
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Actually my dad had the same problem with the gas pedal sticking on his low milage 1999 Buick LeSabre. As a result of this problem, he was involved in a wreck and the car was totaled. We have been told by his mechanic that this is a problem with that year of LaSabre.