The quasi-SU(3) sequence of the positive parity νg 9/2 ,d 5/2 ,s 1/2 orbitals above the N = 40 shell gap are assumed to induce strong quadrupole collectivity in the neutron-rich Fe (Z = 26) and Cr (Z = 24) isotopes below the nickel region. In this paper the position and strength of these single-particle orbitals are characterized in the neighborhood of 68 Ni (Z = 28, N = 40) through the 66 Ni(d,p) 67 Ni one-neutron transfer reaction at 2.95 MeV/nucleon in inverse kinematics, performed at the REX-ISOLDE facility in CERN. A combination of the Miniball γ -array and T-REX particle-detection setup was used and a delayed coincidence technique was employed to investigate the 13.3-μs isomer at 1007 keV in 67 Ni. Excited states up to an excitation energy of 5.8 MeV have been populated. Feeding of the νg 9/2 (1007 keV) and νd 5/2 (2207 keV and 3277 keV) positive-parity neutron states and negative parity (νpf ) states have been observed at low excitation energy. The extracted relative spectroscopic factors, based on a distorted-wave Born approximation analysis, show that the νd 5/2 single-particle strength is mostly split over these two excited states. The results are also compared to the distribution of the proton single-particle strength in the 90 Zr region (Z = 40,N = 50).