 After the season, Linton became a free agent, and signed with the Kansas City Royals on April 25, 1995.Linton made his Royals debut working out of the bullpen on April 29, 1995, allowing 3 runs in 3.2 innings as Kansas City lost 10–3 to the New York Yankees at Kauffman Stadium.He made his first Royals start on May 5 against the Chicago White Sox, allowing only one run in eight innings with four strikeouts, however, he had to settle for a no-decision before the Royals won the game in extra innings.