The invention relates to a biodegradable multi-block copolymer, comprising two different hydrolysable segments derived from two different pre-polymers A and B, wherein the pre-polymers A and B or triblock pre-polymers ABA and BAB are linked by a multi-functional chain-extender, and wherein the copolymer has a maximum glass transition temperature of 37 DEG C (Tg) under physiological (body)conditions. The invention further relates to a process for preparing said copolymer and to its use as a medical implant, a coating for a medical device or a drug delivery vehicle.