A sheet product dispenser for dispensing sheet product from a roll of sheet product is provided. The sheet product dispenser includes a housing defining an interior space configured to receive the roll of sheet product therein, and a roll support positioned within the interior space and configured to rotatably support the roll of sheet product. The housing includes a dispensing gap in communication with the interior space and configured to allow a tail portion of the roll of sheet product to extend therethrough and out of the interior space, and a drainage gap in communication with the interior space and configured to allow a liquid to drain therethrough and out of the interior space. The drainage gap is spaced apart from the dispensing gap and positioned below the dispensing gap. A related method of protecting a roll of sheet product within a sheet product dispenser also is provided.