Nesbit returned to action 1992 and was an improved runner. She was fifth in the 3000 m at the USA Indoor Championships and then placed fourth over that distance at the 1992 United States Olympic Trials. Although she missed the Olympic spot, this performance led to her first international selection and she finished fourth at the 1992 IAAF World Cup in Havana. She missed the 1993 season but returned to take her first national podium in the 3000 m at the 1994 USA Outdoor Track and Field Championships in third. She achieved that same placing at the USA Indoor Championships, which brought her another international call-up. She was among the leaders at the 1995 IAAF World Indoor Championships and claimed the 3000 m bronze medal one place behind compatriot Lynn Jennings. This was the first and ultimately Nesbit's only medal for the United States.