The healing process of fractured polymers is analysed on the basis of the minor chain model. The healing at the interface by interdiffusion is described in terms of the concentration of minor chains. Chain scission would occur at the surfaces of fractured polymers and the resulting minor chains play an important role in the healing process. The localized minor chains at the interface dominate over the flat distribution of the chains in the bulk of the polymer. The molecular quantities derivable from the concentration profile in the fracture case show drastically different behaviour compared with two pieces of a polymer that are put in contact for interdiffusion, the latter corresponding to the flat chain distribution. The result suggests an alternative to the usual correlation for the time dependence of the fracture toughness.