Screening for eligibility will take place up to 30 days before the first dose of G-CSF. Patients will receive a stem cell mobilisation regimen consisting of plerixafor and G-CSF. Patients will be given G-CSF for 4 consecutive days in the morning. Starting on the evening of Day 4, plerixafor will be administered subcutaneously (SC). The plerixafor dose will be timed to allow for a 10- to 11-hour interval between the plerixafor dosing and the initiation of apheresis. Patients may continue to receive the evening dose of plerixafor then G-CSF the next morning followed by apheresis for up to a total of 5 apheresis procedures until a minimum of at least 5 x 106 CD34+ cells/kg for NHL/HD or 6 x 106 CD34+ cells/kg for MM are collected. More cells may be collected if done within the 5 apheresis procedures. Stem cell collection will take place using standard procedures.