[en] The ⁷Be + p elastic cross section has been measured at the Centre de Recherches du Cyclotron RIB facility at Louvain-la-Neuve in the c.m. energy region from 0.3 to 0.75 MeV by bombarding a proton-rich target with a radioactive ⁷Be beam. The recoil protons have been detected in the angular range θ_c.m. = 120.2 deg. - 131.1 deg. and θ_c.m. = 156.6 deg. - 170.2 deg. using the LEDA system. From a R-matrix analysis of the cross section data, we extract the energy and the width of the 1⁺ resonance. The scattering lengths α₀₁ = 25 ± 9 fm (channel spin I = 1) and α₀₂ = -7 ± 3 fm (channel spin I = 2) are deduced. Implications on the low energy S-factor of the ⁷Be(p, γ)⁸B reaction are discussed