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ALT We report an indication of ν̄ₑ from the diffuse supernova neutrino background (DSNB) based on a spectral fit analysis of a 5003.0-day dataset in Super-Kamiokande. Key improvements over previous searches include enhanced rejection of atmospheric ν backgrounds, updated evaluations of systematic uncertainties, and a refined spectral fitting method. Using a representative DSNB model, the best-fit flux was determined to be 3.6⁺¹.⁶₋₁.₅ cm⁻² ˢ⁻¹ for Eν>13.3 MeV, corresponding to a 2.6σ tension with a null hypothesis (99.5% C.L., one-sided). Similar significances were obtained with signal models of varying spectral shapes.