Participants with Hodgkin's Disease (HD) who have been treated with cyto-reductive chemotherapy, who are to undergo autologous stem cell transplantation, and who meet the inclusion/exclusion criteria are eligible to enter this efficacy, safety and pharmacokinetic (PK) study. The only changes to the standard of care is the addition of plerixafor to a granulocyte-colony stimulating factor (G-CSF) mobilization regimen on each day prior to apheresis. The purpose of this protocol is to determine the proportion of participants who reach a target number of CD34+ stem cells (≥5*10^6 cells/kg) after hematopoietic stem cell mobilization with G-CSF and plerixafor. Safety and PK parameters are also collected.