The pp → ppη ′ (958) reaction has been measured at COSY using the internal beam and the COSY-11 facility. The total cross sections at the four different excess energies Q = 1.5 M eV, 1.7 M eV, 2.9 M eV, and 4.1 M eV have been evaluated to be σ = 2.5 ± 0.5 nb, 2.9 ± 1.1 nb, 12.7 ± 3.2 nb, and 25.2 ± 3.6 nb, respectively.In this region of excess energy the η ′ (958) cross sections are much lower compared to those of the π 0 and η production.