A conversion apparatus is provided herein. The conversion apparatus includes a cutting member having an edge configured for cutting the dunnage material. The conversion apparatus also includes a biasing member that is located adjacent to the cutting member such that the dunnage material passes between the biasing member and the cutting member. The biasing member operably contacts the dunnage material thereby biasing the dunnage material against the cutting member. The position of the biasing member relative to the cutting member is such that in response to the dunnage material being retracted back into the conversion apparatus the cutting member begins to sever the dunnage material, but in response to the dunnage material traveling in the dispensing direction the cutting member does not begin to sever the dunnage material due to the relative position.