The invention provides a process for the off site regeneration of a solid catalyst, comprising two consecutive steps: a first step of washing the catalyst using one or more fluid(s) in the supercritical state, so as to extract from the catalyst at least a portion of the hydrocarbons present at the surface of the latter, followed by a second step of combustion of at least a portion of the coke present at the surface of the said catalyst by a heat treatment of the latter in the presence of oxygen and at a temperature ranging from 300° C. to 600° C.