Dispenser for rolls (1, 2) of tissue paper, the dispenser comprising: a housing for accommodating at least two of said rolls (1, 2), an access opening defined in said housing for allowing access to the rolls, and a closure for selectively closing a portion of the access opening, the closure being slideably mounted to the housing between a first position closing a first portion of the access opening preventing access to a first roll of said rolls and a second position closing a second portion of the access opening preventing access to a second roll of said rolls, wherein the closure comprises a body, a first wall movably connected to the body at a first edge of the first wall; and a second wall movably connected to the body at a first edge of the second wall, wherein the first and second wall are urged toward each other to respectively position second edges of the first and second walls opposite to the first edges in a blocking position in which sliding of the closure into the second position is blocked until a predetermined amount of paper of the second roll has been dispensed and in which sliding of the closure into the first position is blocked until a predetermined amount of paper of the first roll has been dispensed, wherein the closure comprises a first spring urging the first wall toward the second wall, the spring force of the first spring being configured so as to automatically return the closure into the first position when sliding of the closure into the second position is blocked, characterized in that the closure further comprises a second spring urging the second wall toward the first wall, wherein the spring force of the second spring is configured so as to automatically return the closure into the second position when sliding of the closure into the first position is blocked. a housing for accommodating at least two of said rolls (1, 2), an access opening defined in said housing for allowing access to the rolls, and a closure for selectively closing a portion of the access opening, the closure being slideably mounted to the housing between a first position closing a first portion of the access opening preventing access to a first roll of said rolls and a second position closing a second portion of the access opening preventing access to a second roll of said rolls, wherein the closure comprises a body, a first wall movably connected to the body at a first edge of the first wall; and a second wall movably connected to the body at a first edge of the second wall, wherein the first and second wall are urged toward each other to respectively position second edges of the first and second walls opposite to the first edges in a blocking position in which sliding of the closure into the second position is blocked until a predetermined amount of paper of the second roll has been dispensed and in which sliding of the closure into the first position is blocked until a predetermined amount of paper of the first roll has been dispensed, wherein the closure comprises a first spring urging the first wall toward the second wall, the spring force of the first spring being configured so as to automatically return the closure into the first position when sliding of the closure into the second position is blocked, characterized in that a body, a first wall movably connected to the body at a first edge of the first wall; and a second wall movably connected to the body at a first edge of the second wall, wherein the first and second wall are urged toward each other to respectively position second edges of the first and second walls opposite to the first edges in a blocking position in which sliding of the closure into the second position is blocked until a predetermined amount of paper of the second roll has been dispensed and in which sliding of the closure into the first position is blocked until a predetermined amount of paper of the first roll has been dispensed, wherein the closure comprises a first spring urging the first wall toward the second wall, the spring force of the first spring being configured so as to automatically return the closure into the first position when sliding of the closure into the second position is blocked, characterized in that the closure further comprises a second spring urging the second wall toward the first wall, wherein the spring force of the second spring is configured so as to automatically return the closure into the second position when sliding of the closure into the first position is blocked.