 Kocinski started 1993 in 250s, taking Suzuki's first-ever podium at this level, but switched back to 500cc mid-season after falling out with the Suzuki team.He won Cagiva's first ever dry-weather 500cc win at Laguna Seca, and came 11th overall with only four appearances.He opened 1994 with a win in Australia and finished the season in third place.