The cyclodextrin-tetraphosphine hybrid coined α-Cytep allows turnover numbers up to 340,000,000,000 and turnover frequencies up to 1,000,000,000 h(-1) to be reached in Suzuki-Miyaura reactions. These exceptional figures are clearly linked to the outstanding longevity of the reactive species induced by the ligand α-Cytep and illustrates the rising potential of cyclodextrins in catalytic applications.