A spindle sleeve for a sheet product dispenser is disclosed having a body with a first end, a second end, an inner diameter, an outer diameter, and a central longitudinal axis. The body includes a first portion disposed proximate the first end, a second portion disposed proximate the second end, and a third portion disposed between the first and second portions. The third portion has a U-shaped cutout defining a cantilevered flexible finger oriented to align with the central longitudinal axis, and the first and second portions have unbroken surfaces of the body around the perimeter of the body at the first and second ends, respectively. The finger has a dorsal-type fin extending perpendicular to the outer surface of the finger.