Convalescent plasma (CP) has been the first line of defense against numerous infectious diseases throughout history. The COVID-19 pandemic created a need for a quick, easily accessible, and effective treatment for severe disease and CP was able to meet that immediate need. The utility of CP warrants a better understanding of the pharmacokinetics of CP treatment. Here we present the case of a COVID-19 patient with a genetic deficiency in antibody production who received CP as a part of the treatment regimen. In depth serological analysis revealed a surprising lack of SARS-CoV-2 specific antibodies and reduced serum IgG following CP infusion. Our study highlights plasma dilution and accelerated antibody clearance as potential mechanisms for the variable efficacy of CP therapy.