We present the first results on the spatial distribution of star formation in 454 star-forming galaxies just after the epoch of reionisation (4.8 < z < 6.5) using Hαemission-line maps and F444W imaging that traces the stellar continuum from the JWST FRESCO NIRCam Slitless Spectroscopy Survey. The Hαequivalent width profiles of star-forming galaxies across the main sequence atz ∼ 5.3 with stellar masses 6.8≤ log(M*/M⊙) < 11.1 increase with radius, which provides direct evidence for the inside-out growth of star-forming galaxies just after the epoch of reionisation.GALFITwas used to calculate half-light radii,Reff, and central surface densities within 1 kiloparsec, Σ1kpcof Hαand the continuum. At a fixed stellar mass of Log(M*/M⊙) = 9.5, Σ1kpc, Hαis 1.04 ± 0.05 times higher than Σ1kpc, C,Reff, Hαis 1.18 ± 0.03 times larger thanReff, Cand bothReffmeasurements are smaller than 1 kiloparsec. These measurements suggest the rapid build-up of compact bulges via star formation just after the epoch of reionisation. By comparison to analogous work done at lower redshifts withHubbleSpace Telescope WFC3 slitless spectroscopy as part of the 3D-HST (z ∼ 1) and CLEAR (z ∼ 0.5) surveys, we find thatReff(z) evolves at the same pace for Hαand the continuum, but Σ1kpc(z) evolves faster for Hαthan the stellar continuum. As a function of the Hubble parameter,Reff, Hα/Reff,C = 1.1h(z) and Σ1 kpc, Hα/Σ1 kpc,C = h(z)1.3. These parametrisations suggest that the inside-out growth of the disk starts to dominate the inside-out growth of the bulge towards lower redshifts. This is supported by the redshift evolution in the EW(Hα) profiles from FRESCO, 3D-HST, and CLEAR at fixed stellar mass and when star-forming progenitors are traced, in which in EW(Hα) rapidly increases with radius within the half-light radius atz ∼ 5.3, but EW(Hα) increases only significantly with radius in the outer disk atz ∼ 0.5.