Prospects for searches of anomalous quartic gauge couplings at a future high-energy muon collider using the production of boson pairs are reported. Muon-muon collision events are simulated at TeV corresponding to an integrated luminosity of ab. The simulated events are used to study the and final states with the bosons decaying hadronically. The events are analyzed to report expected constraints on the structure of quartic vector boson interactions in the framework of dimension-8 effective field theory operators.