May I give the correct terminology?The terminology you're using is inexact.
Assuming you're referring to using the transistor as a switch, the base current should be10 timesone tenth of the collector current to guarantee that the transistor will be saturated.
EDIT for brain fade.
What is the DEFINITION for saturation ?
Answer: The BJT is in saturation when both, the B-E pn juntion as well as the B-C pn junction are forward biased. This happens when the voltage drop across the collector resistor is so large that the base-collector voltage Vbc>0.
As a consequence, the base curent Ib consists of two componenets - and it is much larger than predicted by the specified B-value (Ib=Ic/B).
Hence, such a large base current does not cause the saturation state - in contrary, it is the RESULT of (and a safe INDICATION for) saturation.
(In this context, one should remember and realize again that the BJT is NOT a current-controlled device.)