We report low field studies of the static magnetic susceptibility and torque measurements in the temperature range 2-330 K for the powder and crystalline CuTe2O5 compound. We show that the observed extraordinarily large magnetic axis rotation below 20 K and small (nearly negligible), but highly anisotropic, low temperature susceptibility upturn (which is thus of intrinsic nature) is a consequence of the changes within the ground state d(9) orbital doublet which take place below 20 K, smoothly.