Aggressive lymphoma is a type of lymphoma that grows and spreads quickly, and has severe symptoms. It is seen frequently in patients who are HIV-positive (AIDS-related lymphoma). Also called intermediate-grade lymphoma and high-grade lymphoma. Aggressive lymphoma is a type of lymphoma that grows and spreads quickly, and has severe symptoms. It is seen frequently in patients who are HIV-positive (AIDS-related lymphoma). Also called intermediate-grade lymphoma and high-grade lymphoma. This article incorporates public domain material from the U.S. National Cancer Institute document 'Dictionary of Cancer Terms'.