We report on full 3-directional neutron polarization analysis studies of the magnetic correlations in LiV₂O₄. The data show the evolution of anti-ferromagnetic spin fluctuations at low temperatures (T \le 40 K) with a characteristic wave vector of Q = 0.7 Å^-1. The measured magnetic cross section reveals a temperature induced cross-over from predominantly ferromagnetic (T \ge 40 K) to RKKY-like (anti-ferromagnetic + ferromagnetic) spin correlations (T \le 40 K), as evidenced by reverse Monte Carlo simulations. These results are in agreement with the results of the magnetic relaxation rate on LiV₂O₄.

PACS numbers: 71.27.+a, 78.70.Nx, 71.30.+h