The spread of severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2) caused a worldwide outbreak of coronavirus disease 19 (COVID-19), which rapidly evolved as a global concern. The efforts of the scientific community are pointed towards the identification of promptly available therapeutic options. RNA-dependent RNA polymerase (RdRp) is a promising target for developing small molecules to contrast SARS-CoV-2 replication. Modern computational tools can boost identification and repurposing of known drugs targeting RdRp. We here report the results regarding the screening of a database containing more than 8800 molecules, including approved, experimental, nutraceutical, illicit, withdrawn and investigational compounds. The molecules were docked against the cryo-electron microscopy structure of SARS-CoV-2 RdRp, optimized by means of molecular dynamics (MD) simulations. The adopted three-stage ensemble docking study underline that compounds formerly developed as kinase inhibitors may interact with RdRp.