Lloyd played for the USA World University Games team in Kobe, Japan in 1985. The team brought home a silver medal, after falling to the USSR. The team trailed by 18 points at one time, mounted a come-back attempt but fell short, losing 87–81. Lloyd averaged 6.0 points per game.
She won gold at the 1988 Olympics in Seoul, Korea, as a member of the US Women's Basketball Team. She was also a member of the USA team for the Pan American Games in both 1987 and 1991, winning gold and bronze medals, respectively.
Lloyd was named to the USA national team and competed in the 1994 World Championships, held in June of 1994 in Sydney, Australia. The team was coached by Tara VanDerveer, and won their first six games, when they faced Brazil. In a closely contested, high scoring game, Brazil hit ten of ten free throws in the final minute to secure a 110–107 victory. The USA won a close final game against Australia 100–95 to earn the bronze medal. Lloyd averaged 8.3 points per game.