A new method for increasing the speed of all-optical Mach-Zehnder Interferometric (MZI) switching with a bulk Semiconductor Optical Ampli er (SOA), using chirped control signals, is suggested and theoretically analyzed. For 125fs input and chirped control pulses, we show acceleration of the gain recovery process using the cross phase modulation (XPM) eect. Our method depicts that Tb/s switching speeds, using bulk SOA-MZI with a proper Q-factor, is feasible. For the rst time, we reach operation capability at 2Tb/s with a Q-factor of more than 10. The new scheme also improves the extinction and amplitude ratio of the output power, as well as increasing the contrast ratio of the switched signal. We use a nite dierence beam propagation method for MZI analysis, taking into account all nonlinear eects of SOA, such as Group Velocity Dispersion (GVD), Kerr eect, Two Photon Absorption (TPA), Carrier Heating (CH) and Spectral Hole Burning (SHB).