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Direct numerical simulations of homogeneous decaying turbulence with mildbackground rotation show the existence of a systematic and significantimbalance between the non-linear energy cascade to small scales and itsdissipation. By starting the decay from a statistically stationary and fullydeveloped rotating turbulence state, where the dissipation and the energy fluxare approximately equal, the data shows a growing imbalance between the twountil a maximum is reached when the dissipation is about twice the energy flux.This dichotomy of behaviours during decay is reminiscent of the non-equilibriumand the equilibrium regions previously reported for non-rotating turbulence[P.C. Valente, J.C. Vassilicos, Phys. Rev. Lett. {\bf 108} 214503 (2012)].Note, however, that for decaying rotating turbulence the classical scaling ofthe dissipation rate $\epsilon \propto u'^3/L$ (where $u'$ and $L$ are the rootmean square fluctuating velocity and the integral length scale, respectively)does not appear to hold during decay, which may be attributed to the effect ofthe background rotation on the energy cascade. On the other hand, the maximumenergy flux holds the scaling $\Pi_{max} \propto u'^3/L$ in the initial stageof the decay until the maximum imbalance is reached.

Spectral imbalance in the inertial range dynamics of decaying rotating turbulence