Improvements to sheet product dispensers configured to hold multiple product rolls are provided herein. An example sheet product dispenser comprises a housing defining a dispensing position and a reserve position. The housing is configured to hold a first roll of sheet product in the dispensing position and a second roll of sheet product in the reserve position, where a user can receive a portion of the first roll of sheet product that is in the dispensing position. The sheet product dispenser includes a roll replacement feature that is configured to enable installation of a replacement roll of sheet product into the reserve position. The sheet product dispenser includes a restrictive access feature configured to prevent installation of the replacement roll of sheet product directly into the dispensing position in an instance in which the roll replacement feature enables installation of the replacement roll of sheet product in the reserve position.