With co-time co-frequency full duplex (CCFD) in 60 GHz band, self interference (SI) has different characteristics due to larger wireless path loss and beamformed system compared to current band under 6 GHz (normal band). In this paper, we present real SI channel measurement results and analysis to consider indoor CCFD in 60 GHz band. The results show that the narrow beam antennas can effectively suppress the direct leakage component but increase the root mean square (RMS) delay spread of the SI channel due to reflections from nearby objects. The effect of phase noise on SI cancellation is demonstrated since a high-frequency oscillator is used. At the end, we show the key factors of SI cancellation based on the measurement results for implementation of CCFD in 60 GHz band.