A dispenser for dispensing a flexible, rolled sheet material, comprising: a housing; and a supply of the sheet material supported within the housing for feeding the sheet material along a path defined through the housing; wherein the dispenser comprises: a feed roller (18,318) rotatably mounted within the housing and arranged along the path of travel of the sheet material, the feed roller (18, 318) comprising a body (28, 328) that engages the sheet material to pull the sheet material from the supply so as to dispense a selected amount of the sheet material from the housing; and a cutting mechanism (120, 320) arranged along the body (28, 328) of the feed roller (18, 318), the cutting mechanism (120, 320) comprising a cutting blade (122, 322) that is operatively connected to the body (28, 328) of the feed roller (18, 318) and is actuated with rotation thereof to at least partially cut or perforate a selected portion of the sheet material as the sheet material is dispensed; characterized in that the dispenser further comprises: one or more pressing rollers (36, 236, 238, 436, 438) positioned adjacent the feed roller (18, 318) and biased toward the body (28, 328) of the feed roller (18, 318) sufficient to engage the sheet material between the one or more pressing rollers (36, 236, 238, 436, 438) and the feed roller (18, 318); wherein the one or more pressing rollers (36, 236, 238, 436, 438) are biased toward engagement with the feed roller by engagement of a belt (248, 451, 471) extended about and connecting the feed roller and the one or more pressing rollers (36, 236, 238, 436, 438). a housing; and a supply of the sheet material supported within the housing for feeding the sheet material along a path defined through the housing; wherein the dispenser comprises: a feed roller (18,318) rotatably mounted within the housing and arranged along the path of travel of the sheet material, the feed roller (18, 318) comprising a body (28, 328) that engages the sheet material to pull the sheet material from the supply so as to dispense a selected amount of the sheet material from the housing; and a cutting mechanism (120, 320) arranged along the body (28, 328) of the feed roller (18, 318), the cutting mechanism (120, 320) comprising a cutting blade (122, 322) that is operatively connected to the body (28, 328) of the feed roller (18, 318) and is actuated with rotation thereof to at least partially cut or perforate a selected portion of the sheet material as the sheet material is dispensed; a feed roller (18,318) rotatably mounted within the housing and arranged along the path of travel of the sheet material, the feed roller (18, 318) comprising a body (28, 328) that engages the sheet material to pull the sheet material from the supply so as to dispense a selected amount of the sheet material from the housing; and a cutting mechanism (120, 320) arranged along the body (28, 328) of the feed roller (18, 318), the cutting mechanism (120, 320) comprising a cutting blade (122, 322) that is operatively connected to the body (28, 328) of the feed roller (18, 318) and is actuated with rotation thereof to at least partially cut or perforate a selected portion of the sheet material as the sheet material is dispensed; characterized in that the dispenser further comprises: one or more pressing rollers (36, 236, 238, 436, 438) positioned adjacent the feed roller (18, 318) and biased toward the body (28, 328) of the feed roller (18, 318) sufficient to engage the sheet material between the one or more pressing rollers (36, 236, 238, 436, 438) and the feed roller (18, 318); wherein the one or more pressing rollers (36, 236, 238, 436, 438) are biased toward engagement with the feed roller by engagement of a belt (248, 451, 471) extended about and connecting the feed roller and the one or more pressing rollers (36, 236, 238, 436, 438). one or more pressing rollers (36, 236, 238, 436, 438) positioned adjacent the feed roller (18, 318) and biased toward the body (28, 328) of the feed roller (18, 318) sufficient to engage the sheet material between the one or more pressing rollers (36, 236, 238, 436, 438) and the feed roller (18, 318); wherein the one or more pressing rollers (36, 236, 238, 436, 438) are biased toward engagement with the feed roller by engagement of a belt (248, 451, 471) extended about and connecting the feed roller and the one or more pressing rollers (36, 236, 238, 436, 438).