BACKGROUND: It is not clear whether patients with some degree of immunosuppression have worse outcomes in SARS-CoV-2 infection, compared to healthy people. OBJECTIVE: To carry out a narrative review of the information available on infection by SARS-CoV-2 in immunosuppressed patients, especially patients with cancer, transplanted, neurological diseases, primary and secondary immunodeficiencies. RESULTS: Patients with cancer and recent cancer treatment (chemotherapy or surgery) and SARS-CoV-2 infection have a higher risk of worse outcomes. In transplant patients (renal, cardiac and hepatic), with neurological pathologies (multiple sclerosis [MS], neuromyelitis optica [NMODS], myasthenia gravis [MG]), primary immunodeficiencies and infection with human immunodeficiency virus (HIV) in association with immunosuppressants, studies have shown no tendency for worse outcomes. CONCLUSION: Given the little evidence we have so far, the behaviour of SARS-CoV-2 infection in immunosuppressed patients is unclear, but current studies have not shown worse outcomes, except for patients with cancer.