A vulcanizable rubber composition comprising a reinforcing white filler, which can be used for the manufacture of a tire, wherein the rubber composition comprises a diene block copolymer which is intended to interact with said reinforcing white filler, said diene block copolymer comprising a diene polymer block having on at least one chain end thereof a polyether block, the molecular weight of which is between 1000 g/mol and 3000 g/mol, said polyether block corresponding to the formula:
- O—(CH2—CH2—O)n—R, (I)
- in which n is a natural integer other than zero and R is a saturated or unsaturated hydrocarbon group.