The present application relates to a tire (6) comprising: a tread portion (8) and side walls (10), said tread portion (8) and side walls (10) defining a main air chamber (12); at least two auxiliary chambers (14, 16, 18) formed in the tread portion (8); and an air transfer device (28) for transferring air between the main air chamber (12) and each of the auxiliary air chambers (14, 16, 18).