We report on a new measurement of the g factor of the (13/2(+)) isomeric state in the neutron-rich nucleus Cu-69. This study demonstrates the possibility of obtaining considerable nuclear spin alignment for multi-quasiparticle states in single-nucleon removal reactions. The time-dependent perturbed angular distribution (TDPAD) method was used to extract the gyromagnetic factor of the (13/2(+)) [T-1/2 = 351(14) ns] isomeric state of Cu-69. Its g factor was obtained as g(13/2(+)) = 0.248( 9). The experimentally observed spin alignment for the state of interest was deduced as A = -3.3(9)%.