The CERN NP06/ENUBET experiment is developing a new neutrino beam with unprecedented precision on the flux, flavor composition and energy of the produced electron and muon neutrinos. Such a goal will be accomplished by monitoring the charged lepton in kaon and pion decays. Therefore, the facility will be ideal for high precision neutrino cross-section measurement at the GeV Scale, a crucial aspect to boost the sensitivity of future next-generation long-baseline experiments and for the improvement of neutrino interaction models. In this paper, we present the current status of the project, focusing on the improved transfer line and proton target design, corresponding particle identification performance and first steps toward the assessment of systematics.