A disposable assembly for an apheresis system for separating blood into at least one high hematocrit red blood cell component for collection and for the leukoreduction of the high hematocrit red blood cell component; said disposable assembly comprising: a blood removal assembly for removing blood from a donor/patient; a blood processing vessel interconnected to said blood removal assembly, for use with a separation system for separating blood received from the donor/patient into blood components including high hematocrit red blood cells; said blood processing vessel being configured to be interfitted within a channel housing that is rotatably interconnected with a rotatable centrifuge rotor assembly so that blood can be flowed continuously from the donor/patient and into the blood processing vessel. a red blood cell collection assembly interconnected to said blood processing vessel, said red blood cell collection assembly comprising: a leukoreduction filter directly connected by tubing (952, 951) to said blood processing vessel so as to receive high hematocrit red blood cells pushed from said blood processing vessel by the pressure of the blood inlet flow to said blood processing vessel; and a red blood cell collection container interconnected to said leukoreduction filter so as to receive high hematocrit red blood cells pushed through said leukoreduction filter; whereby said red blood cell collection assembly provides for the pushing of said high hematocrit red blood cells through the leukoreduction filter; and collecting the high hematocrit red blood cells in the collection container after the pushing of said high hematocrit red blood cells through the leukoreduction filter. a blood removal assembly for removing blood from a donor/patient; a blood processing vessel interconnected to said blood removal assembly, for use with a separation system for separating blood received from the donor/patient into blood components including high hematocrit red blood cells; said blood processing vessel being configured to be interfitted within a channel housing that is rotatably interconnected with a rotatable centrifuge rotor assembly so that blood can be flowed continuously from the donor/patient and into the blood processing vessel. a red blood cell collection assembly interconnected to said blood processing vessel, said red blood cell collection assembly comprising: a leukoreduction filter directly connected by tubing (952, 951) to said blood processing vessel so as to receive high hematocrit red blood cells pushed from said blood processing vessel by the pressure of the blood inlet flow to said blood processing vessel; and a red blood cell collection container interconnected to said leukoreduction filter so as to receive high hematocrit red blood cells pushed through said leukoreduction filter; whereby said red blood cell collection assembly provides for the pushing of said high hematocrit red blood cells through the leukoreduction filter; and collecting the high hematocrit red blood cells in the collection container after the pushing of said high hematocrit red blood cells through the leukoreduction filter. a leukoreduction filter directly connected by tubing (952, 951) to said blood processing vessel so as to receive high hematocrit red blood cells pushed from said blood processing vessel by the pressure of the blood inlet flow to said blood processing vessel; and a red blood cell collection container interconnected to said leukoreduction filter so as to receive high hematocrit red blood cells pushed through said leukoreduction filter; whereby said red blood cell collection assembly provides for the pushing of said high hematocrit red blood cells through the leukoreduction filter; and collecting the high hematocrit red blood cells in the collection container after the pushing of said high hematocrit red blood cells through the leukoreduction filter.