The cross section for the reaction p+ 6 Li → η+ 7 Be was measured at an excess energy of 11.28 MeV above threshold by detecting the recoiling 7 Be nuclei. A dedicated set of focal plane detectors was built for the magnetic spectrograph Big Karl and was used for identification and four momentum measurement of the 7 Be. A differential cross section of dσ dΩ = (0.69±0.20( stat.)±0.20( syst.)) nb/sr for the ground state plus the 1/2 − was measured. The result is compared to model calculations. 25.40.Ve, 25.90.+k