After performing below par in the 1992–93 ABL season, Nilsson was the most frequently used catcher for the 1993 Brewers, but due to injury problems, had rehab stints in the minors. On 11 April 1994, Nilsson hit the first home run at Rangers Ballpark in the fifth inning of the first game played there. He also grounded into the first double-play recorded at the ballpark, scored 1-6-3. On 14 April 1994, Nilsson and Graeme Lloyd formed the first all-Australian battery in an MLB game.