Overlap frequency-domain equalization (FDE) requires no cyclic prefix (CP) insertion. In this paper, a new minimum mean square error (MMSE) weight is derived for the overlap FDE. In the previous paper, the MMSE weight for overlap FDE is derived by approximating the IBI as a white Gaussian variable. However, the IBI is an independent colored noise. We derive a new MMSE weight by taking into account this fact. We evaluate the bit error rate (BER) performance by computer simulation, and show that overlap FDE using the newly derived MMSE weight reduces the residual inter-symbol interference (ISI) more and hence, improves the BER performance.