Molecular excitons can be strongly coupled with the modes of photonic structures to form hybrid light-matter states, which are known as exciton-polaritons. This enhances their range of transport by orders of magnitude, offering a novel and promising path toward developing active optoelectronic devices with superior performance . Despite the significant recent progress in studying polaritonic transport, the enhancement mechanism and the transport nature of these composite excitations remain elusive, hampering the exploitation of cavity-enhanced transport to its full potential. Here we present a complete mapping of the ultrafast spatiotemporal dynamics of polariton transport resolved in energy/momentum space. These measurements reveal that the polaritons show complex behaviour, transitioning from exciton-like diffusive transport to photon-like ballistic flow as the long-range correlations induced by strong coupling overcome the molecular-level disorder .