A sheet product dispenser includes a transfer bar, a roller assembly, a motor, a sensor, and a controller. The transfer bar is movable between first and second positions. The roller assembly, disposed proximate the transfer bar second position, has a drive roller and a pinch roller that define a nip. The motor is in operable communication with the transfer bar to move the transfer bar between the first and second positions. The sensor is in operable communication with the dispenser cover. The controller is in operable communication with the sensor and the motor, and is responsive to executable instructions to facilitate actuation of the motor in response to a signal from the sensor to cause the transfer bar to move between the first position and second positions. The transfer bar includes at least one finger that drives an end of a roll of sheet product towards the nip upon actuation of the transfer bar from the first position to the second position.