Higuita started his playing career with Millonarios and transferred to Atlético Nacional in 1986. He played the majority of his club career with the Colombian side where he helped the team win the Colombian League on numerous occasions as well as the Copa Libertadores and Copa Interamericana, both in 1989. After leaving them, he moved to Spain to play with Real Valladolid for one season, before coming back to Atletico Nacional for four years. He then left for Mexico to play for Veracruz before coming back to the Colombian league to play for Atletico's city rivals, Independiente Medellín.