The Effect of Rituximab on Mobilization With AMD3100 (Plerixafor) Plus G-CSF in Patients With Relapsed or Refractory Non-Hodgkin Lymphoma (NHL) or Hodgkin Disease (HD)

Inclusion Criteria (abbreviated list): * Histological diagnosis of diffuse large cell lymphoma, B-cell, T-cell or anaplastic histologies; peripheral T-cell lymphoma; small non-cleaved Burkitt-like lymphoma; or Hodgkin disease. NOTE: Participants diagnosed at a facility outside of Emory University will have their diagnosis confirmed by Emory University pathologists prior to being enrolled in this study. * Eligible for autologous transplantation. * History of relapse of lymphoma following initial treatment with an anthracycline-containing regimen or disease that is refractory or progresses during initial therapy with an anthracycline-containing regimen. * Immunophenotyping of the lymphoma at the time of diagnosis or relapse using flow cytometry or immunohistochemistry. * Presence of clinically- and/or radiologically-documented, measurable, and/or evaluable disease at the time of relapse. * Received 2 cycles of salvage chemotherapy. * Complete response (i.e., normal physical examination, lymph nodes, lymph node masses, and bone marrow) or a partial response (i.e., decrease of ≧50% in the size of lymph nodes or lymph node masses or decrease in size of liver/spleen on physical exam) to at least one cycle of a salvage chemotherapy regimen. * Eastern Cooperative Oncology Group (ECOG) performance status of 0, 1, or 2. * Absolute granulocytes count ≧1.0\*10\^9/l. * Platelet count ≧75\*10\^9/l. * Aspartate aminotransferase (AST) or alanine transaminase (ALT) ≦2.5 times the upper limit of normal (ULN) or ≦5 times the ULN if liver involvement with lymphoma. * Life expectancy of at least 3 months. * \>4 weeks since last cycle of chemotherapy. * Patient has recovered from all acute toxic effects of prior chemotherapy. * Signed informed consent. Exclusion Criteria (abbreviated list): * A second active malignancy (other than basal cell carcinoma of the skin). * Uncontrolled central nervous system involvement by lymphoma. * Positive/history of retroviral infection (HIV, HTLV-1). * Active infection requiring antibiotics during planned lymphoma-related therapy. * Previous treatment with high-dose chemotherapy or cytokine mobilization and hematopoietic progenitor cell transplantation. * Continued evidence by morphology and flow cytometry of bone marrow involvement after at least one cycle of salvage chemotherapy. * ≥3 cycles of salvage chemotherapy following documentation of lymphoma relapse or disease progression. * (In patients with CD20(+) lymphoma) History of severe hypersensitivity reactions to rituximab. * Positive pregnancy test in female patients. * Lactating female patients. * Previously received experimental therapy within 4 weeks of enrolling in this protocol or currently enrolled in another experimental protocol during G-CSF Mobilization Phase. * Creatinine \>1.5 times the ULN. * Bilirubin \>1.5 times the ULN. * Ejection fraction \<45%. * Diffusion capacity of the lung for carbon monoxide (DLCO) \<50%. * Patients of childbearing potential unwilling to implement adequate birth control. * A co-morbid condition that renders the patient at high risk from treatment complications. * Residual acute medical condition resulting from prior chemotherapy. * Documented history of ventricular arrhythmias during the last 3 years. * Fever (temperature \>38 °C/100.4 °F). * Actual body weight exceeds 175% of ideal body weight. * Participants who have deterioration of their clinical status or laboratory parameters between the time of enrolment and transplant (such that they no longer meet entry criteria) may be removed from study at the discretion of the treating physician, principal investigator, or sponsor.