A dispensing cap for a dispensing system may be adapted for dispensing a roll of longitudinally extending material arranged in a center-pull configuration. The dispensing cap may include a dispensing orifice. A first rim having an inner edge may define a wide end of the dispensing orifice. A second rim having an outer edge may define a narrow end of the dispensing orifice. One or more sidewalls may extend between the inner edge of the first rim and the outer edge of the second rim and define the dispensing orifice between the wide end and the narrow end. The dispensing cap may further include a dispensing slot that defines an opening through the second rim.