Tyre comprising: two beads intended to come into contact with a mounting rim; two sidewalls extending the beads radially outward, the two sidewalls joining in a crown comprising a crown reinforcement extending axially between two axial ends and surmounted by a tread; and a carcass reinforcement anchored in the two beads and extending through the sidewalls to the crown, wherein the crown includes, radially to the inside of the carcass reinforcement, at least one reservoir layer made of a rubber mix having a high antioxidant content, so that at least one reservoir layer is radially plumb with each axial end of the crown reinforcement, wherein said at least one reservoir layer has an antioxidant content equal to or greater than 5 phr but does not exceed 10 phr, and wherein said at least one reservoir layer further includes an oxygen absorbent.