Comparative study of U(Ru1-xRhx)2Si2 (x=0 and 4%) through resistivity, magnetic susceptibility, and Hall coefficient measurements reveals that the coherence temperature, Tcoh, of the Rh 4% doped sample clearly decreases by about 10–20% as compared with that of undoped one located around 50K. Furthermore, T*, a characteristic temperature below which the resistivity shows the T2 dependence, is also found to decrease by almost the same factor. These findings suggest that the low Rh doping sensitively destroys the itinerant band gap due to the hidden order (HO) through the reduction of the Fermi surface volume in the quasi-particle band.