A method for establishing radiofrequency links via a telecommunication satellite having several spots, designated a multispot satellite, between at least one terrestrial station and a service area composed of a plurality of elementary covering zones, designated cells, each cell comprising a plurality of terrestrial terminals is disclosed. This type of satellite allows the use of several spots of antennae on board the satellite to cover contiguous geographical zones or cells, instead of a single broad spot. Each cell is associated with a spot to which a frequency band is attributed. In the case of the loss of a spot associated with a cell, designated a faulty cell, the spot (FR1, FR2, FB1, FB2, FV1, FV2) associated with at least one contiguous cell (CR1, CR2, CB1, CB2, CV1, CV2) to the said faulty cell is likewise associated with a part of the said faulty cell so that the area (CPJ′) of said faulty cell is reduced.