Adiabatic RF pulses are very useful in MRI when precise flip angles are needed. Unfortunately, adiabatic pulses suffer from a long application time and a high SAR. A new concept to modify the usual adiabatic pulse into a “pseudo-adiabatic” pulse having a shorter application time and lower SAR is introduced. For example, a BIR-4 of 32 ms of application time and a relative SAR of 20 will be transformed into a BIR-4-S1 of 1 ms and relative SAR of 1. The new pulse obtained stays insensitive for a large B1 range but loses its slice selectivity to become a 3D pulse. Experimental results are presented to illustrate the sensitivity to B1 and B0.