Vollmann is a youth exponent of 1860 Munich. After he played his first four games for
1860 Munich II in the
2011–12 season in the
Regionalliga Süd he went on a loan to
3. Liga club
Unterhaching for the rest of the season and managed to score once in 13 appearances. In the upcoming years, Vollmann was a regular player of 1860 Munich II in the
Regionalliga Bayern. In the
2014–15 season he replaced injured
Michael Kokocinski as captain in several games and scored 14 goals out of 20 appearances. After this good run of form Vollmann gave his debut for the first team on 22 November 2014 in a 4–1 away win against
Union Berlin being substituted for
Valdet Rama in 76th minute. In March 2015 he extended his contract until June 2017. Vollmann played his first full match from the beginning on against
SV Sandhausen on 8 March 2015. On 13 March 2015, he scored his first goal for the first team of 1860 Munich in a 3–0 away win against
Greuther Fürth, when he brought his team to a 2–0 lead in the 65th minute. On 20 January 2016, he signed for
SV Sandhausen. ==Club statistics==