Born in Bologna, he participated as an adolescent to the Italian resistance movement in Piedmont.
In the same period, Roversi decided to stop selling his works to large publishers, and distributed them autonomously, often in amateur printing editions.
In 1973-1976, Roversi wrote lyrics for three albums by fellow Bolognese musician Lucio Dalla: Il giorno aveva cinque teste, Anidride solforosa and Automobili, the latter under the pseudonym Norisso.
He also wrote lyrics for the Bolognese band Stadio, including "Chiedi chi erano i Beatles".
His song "Anidride solforosa" was sung in the 1990s also by Francesco De Gregori and Angela Baraldi.