to guarantee a spot in the first round, they had the option to scrub their time from the first round and try and run a faster lap time in a second round qualifying run, held on Saturday, June 1, at 11:30 AM EST. As with the first round, each driver would have one lap to set a time. For this specific race, positions 21-40 would be decided on time, and depending on who needed it, a select amount of positions were given to cars who had not otherwise qualified but were high enough in owner's points; up to two provisionals were given. If needed, a past champion who did not qualify on either time or provisionals could use a champion's provisional, adding one more spot to the field. Michael Waltrip, driving for Bahari Racing, would win the pole, setting a time of 25.106 and an average speed of in the first round. Billy Fulcher was the only driver to fail to qualify after his qualifying speed was determined to be too slow to run the race. Full qualifying results Race results Standings after the race Drivers' Championship standings Note: Only the first 10 positions are included for the driver standings. References 1991 NASCAR Winston Cup Series NASCAR races at Dover Motor Speedway June 1991 sports events in the United States 1991 in sports in Delaware