H5N1 avian influenza virus (lineage 2.3.4.4b, B3.13 genotype) has caused, unexpectedly, a large outbreak in dairy cattle in North America. It is critical to ascertain how this virus has specifically adapted to bovine cells and the molecular determinants of this process. Here, we focused on the contribution of the viral “internal” genomic segments of H5N1 B3.13 to bovine cells adaptation. We generated 45 reassortant viruses harbouring the haemagglutinin and neuraminidase from A/Puerto Rico/8/1934 and internal gene constellations from several influenza A viruses (IAV) or carrying segment swaps between distinct H5N1 strains. The recombinant B3.13 viruses displayed faster replication kinetics in bovine cells compared to other IAV. Importantly, multiple genomic segments of B3.13 viruses contribute to their faster replicative fitness. Further, recombinants with the B3.13 internal genes were less susceptible than ancestral 2.3.4.4b strain to the bovine IFN response. However, bovine (and human) MX1, a key restriction factor for avian IAV, restricted both ancestral 2.3.4.4b and B3.13 recombinant viruses. Interestingly, the latter escape restriction from human BTN3A3. Finally, recombinant B3.13 was virulent in mice unlike the ancestor 2.3.4.4b recombinant virus. Our results highlight the polygenic nature of influenza host range as multiple internal genes of B3.13 contribute to bovine adaptation.