In Round 18 of the 1993 NSWRL season, at age 16 years and 299 days old, Dunemann made his first grade debut for the Gold Coast Seagulls in their 16–46 loss to the North Sydney Bears. This was his only appearance for the Seagulls that season. In 1994, he played six games, starting five at five-eighth. In 1995, he became more of a regular in the side playing 13 games, scoring his first try in a 20–27 loss to the Newcastle Knights.
In 1996, Dunemann signed with the North Queensland Cowboys, joining his older brother Ian at the club. In Round 10 of the 1996 ARL season, he made his debut for the club, playing alongside his brother in a 14–38 loss to the Sydney City Roosters. In doing so, they became the first pair of brothers to play for the club. In his first season at the Cowboys, he played 16 games. In 1997, he played 14 of the club's 18 games, starting the majority at halfback. In 1998, Dunemann's final season at the club, he played 21 games, scoring three tries.
In 1999, Dunemann joined the South Sydney Rabbitohs, playing just five games for the club before making a mid-season move to England to play for the Halifax Blue Sox in the Super League. Over three and a half seasons with the club, he played 74 games, scoring 19 tries.[4]
In 2006, joined the Salford City Reds, playing 25 games in his lone season at the club before returning to Australia.[10]
In 2007, Dunemann returned to the NRL after eight years, joining the Canberra Raiders. He played two games for the club, coming off the bench in both before retiring due to injuries.[11]
In April 2013, Dunemann coached the Queensland under-20 team.[17] On 20 August 2013, following the dismissal of Raiders' head coach David Furner, Dunemann was named as the club's interim head coach.[18] After three losses from his three games, he was replaced in a full-time capacity by Ricky Stuart for the 2014 season.[19]