Search for shape coexistence in the 65Ni nucleus, which is predicted by Monte Carlo Shell Model calculations, will be performed by investigating the low-spin excitations populated in the gamma decay of the neutron-capture state at 6098 keV. Gamma rays will be detected by using the multidetector germanium array FIPPS, complemented with the LaBr3 scintillator detectors which will provide information on states lifetimes in the range from tens of ps to ~1 ns.