This invention relates to a process for conversion of hydrocarbon feedstock, comprising the steps of (A) feeding the hydrocarbon feedstock to an adsorption unit; (B) adsorbing the hydrocarbon feedstock in the adsorption unit with a solid particulate adsorbent useful for adsorbing at least one component from the hydrocarbon feedstock under adsorption conditions; (C) withdrawing the adsorbed feedstock from the adsorption unit; (D) desorbing the component(s) from the solid particulate adsorbent; and (E) removing, under the adsorption conditions for a fractional time of step (B), at least a portion of said adsorbent while the feedstock is being fed to the adsorption unit.