A coreless roll of absorbent sheet products is made of a spirally wound web of absorbent substrate including at least two superposed plies of absorbent substrate, the web of absorbent substrate being wound such as to define an axial hollow passageway centrally positioned relatively to the coreless roll and extending from one edge to another edge of the coreless roll. The web of absorbent substrate further includes a stiffening insert, the stiffening insert being inserted in-between two superposed plies of absorbent substrate, the stiffening insert being positioned such as to line the axial hollow passageway, the stiffening insert having a length such that the stiffening insert extends at least around three quarter of a circumference of the passageway, preferably substantially completely around a circumference of the passageway.