The　large　normal　dispersion　of　the　fundamental　mode　(TEn1　mode)　in　the　whispering　gallery　modes　(WGM)　microsphere　is　detrimental　to　the　visible　comb　generation.　Herein,　we　demonstrate　that　this　fundamental　limitation　can　be　removed　by　considering　the　high-order　radial　modes　(TEn2　mode)　of　the　hybrid　microsphere　cavity　(HMC).　The　studied　HMC　consists　of　a　high-refractive-index　coating　(TiO2　or　HfO2)　and　silica　microsphere.　The　simulated　electric　field　energy　distribution　and　measured　Q　value　in　our　experiment　show　that　optical　confinement　of　the　coating　effectively　excites　the　TEn2　mode　and　reduces　the　free　spectral　range　(FSR)　and　modal　dispersion.　In　addition,　the　observed　redshift　of　WGM　and　decreased　trend　of　FSR　are　in　accordance　with　simulations.　The　zero-dispersion　wavelength　can　be　linearly　shifted　to　a　shorter　wavelength　or　even　into　the　visible　region　with　the　reduction　of　coating　thickness　or　refractive　index　and　larger　microcavity,　which　advances　the　visible　comb　generation.　©　2019　Optical　Society　of　America.