Fluorescence decay of the rotationally cooled oxalylfluoride excited to the different single rotational levels of the (A) over tilde (1)A(u)(8(1)) state was measured as a function of an external magnetic field. On excitation to this level, the dynamics in both zero and nonzero fields may be described using the intermediate-molecule limit, with the fluorescence exhibiting biexponential decay. The fast component decay rate constant is the field-independent parameter, while that of the slow component depends on the magnetic field strength. The results obtained were explained by the indirect (electronic and nuclear-spin-decoupling) mechanism, proposed earlier.