For the 1996-1997 Indy Racing League season Groff joined Byrd/Cunningham and captured 3 straight top-five finishes to start the season including a third at the Las Vegas Motor Speedway and a second at Walt Disney World Speedway (the first with the series new naturally aspirated cars). He finished 12th in the 1997 Indianapolis 500 and finished fourteenth in the championship. Groff returned to Byrd-Cunningham Racing in 1998. After finishes of 7th, 15th, and 15th to start the season, he was replaced at the Texas Motor Speedway race by John Paul, Jr.. He was out of a ride for the rest of the season.