A dispenser for a roll of web material, such as a center feed roll includes: a body having a first end wall provided with a dispensing opening for dispensing a leading end of the web material at the center of the roll, a second end wall opposite to the first end wall, and a sidewall connecting to the first and second end wall. The dispenser also includes a stabilizing device that is insertable into the roll to prevent the roll from collapsing towards its center. The stabilizing device includes a plurality of protrusions protruding from at least one of the first or second end wall towards the other of the first or second end wall, and the protrusions are disposed closer to the sidewall than to a center axis of the body.