The main protease (Mpro) of SARS-CoV-2 is an essential enzyme for the replication of the virus causing the COVID-19 pandemic. Because there is no known homologue in humans, it has been proposed as a primary target for antiviral drug development. Here, we explore the potential of five acrylamide-based molecules as possible covalent inhibitors, leading to target MPro by docking, followed by polarizable molecular dynamics (MD) and quantum mechanics/molecular mechanics (QM/MM) calculations. All calculations involving a classical potential were calculated with the AMOEBABIO18 polarizable force field, while electronic structure calculations were performed within the framework of density functional theory. Selected docking poses for each of the five compounds were used for MD simulations, which suggest only one of the tested leads remains bound in a catalytically active orientation. The QM/MM results for the covalent attachment of the promising lead to the catalytic serine suggest that this process is thermodynamically feasible but kinetically unlikely. Overall, our results are consistent with the low labeling percentages determined experimentally and may be useful for further development of acrylamide-based leads.