Having ended his active career, Tune began a career as a part-time coach. In 1991, he became the new manager of Herfølge BK but he was sacked in 1993 after losing an important game against Brønshøj BK.
After retiring from his playing career, Tune transitioned into part-time coaching. Two years later, in 1991, he took over as the manager of Herfølge BK, only to be let go in 1993 after suffering a significant defeat against Brønshøj BK.