The invention relates to a method for preparing a sequenced copolymer comprising a first block (A) connected to a second block (B), said method comprising the following steps of monitored radical polymerisation: (E1) bringing into contact, typically in an aqueous medium: unsaturated ethylene monomers mA, selected in order to constitute the block (A); a source of free radicals; and an agent for monitoring the radical polymerisation; and then (E2) bringing into contact: the polymer obtained from step (E1); unsaturated ethylene monomers mB; a source of free radicals; and a polymer P0 which is not ethylenically unsaturated and supports labile hydrogens.