To investigate the mechanism of detonation control using a pulse hot jet in the supersonic hydrogen-oxygen mixture, high-resolution simulations with a detailed reaction model were conducted using an adaptive mesh refinement method. After the successful detonation initiation, a contractive passway is generated between the hot jet and the main flow field behind the detonation front. Due to the contractive passway, the expansion of detonation products is prevented, hence, resulting in overdriven detonation. By setting up various contractive passways through adjusting the width of the hot jet, the overdrive degree of overdriven detonation also changes. It is suggested that the width of the hot jet has an approximately linear relation with the relative and absolute propagation velocities. When the contractive passway gradually disappears after the shutdown of the hot jet, overdriven detonation attenuates to the dynamically stable Chapman-Jouguet (CJ) detonation. When the contractive passway is re-established once again after the reinjection of the hot jet, the CJ detonation develops to the same overdriven detonation, indicating that the contractive passway controlled by the pulse hot jet can indeed control detonation propagation in the supersonic combustible mixture to some extent.