The pp → pK + Λ reaction has been measured with the COSY-TOF detector at a beam momentum of 2.7 GeV/c. The polarized proton beam enables the measurement of the beam analyzing power by the asymmetry of the produced kaon (A K N ). This observable allows the pΛ spin triplet scattering length to be extracted for the first time model independently from the final-state interaction in the reaction. The obtained value is a t = (−2.55 +0.72 −1.39 stat. ± 0.6 syst. ± 0.3 theo. ) fm. This value is compatible with theoretical predictions and results from model-dependent analyses.PACS numbers: 13.75.-n, 13.75.EvThe elementary hyperon-nucleon interaction is an essential ingredient for microscopic few-body or many-body calculations. This concerns investigations of light hypernuclei [1], like the hypertriton and