A dispenser assembly for dispensing a sheet from a roll of sheet material having a longitudinal axis, including: a roll holder for removably holding the roll of sheet material, which is free to rotate relative to the roll holder; a base for supporting the roll holder and for coupling the dispenser assembly with an environment structure; and a pair of coupling elements including a first element coupled to the roll of sheet material and a second element integral to the roll holder, the first element being coupled in a free to rotate and removable manner relative to the second element by magnetic coupling. The first element includes a contacting portion extending transversally relative to the longitudinal axis, which is adhered to a lateral edge of the roll of sheet material and arranged to at least partially recover the lateral edge so that the first element is fixedly secured to the roll of sheet material.