An installation for feeding rubber to at least one rubber-consumer device, the installation being of the type comprising means for continuously moving a strip of rubber from a rubber-supplier device to a consumer device, wherein the installation includes taker means for continuously taking a portion, referred to as the residue, from the strip of rubber, said taker means being arranged upstream from the consumer device, upstream rubber storage means from which the strip of rubber is for being moved toward the consumer device, the supplier device further including downstream storage means for storing the residue, and swap means for swapping the upstream and downstream storage means.