  Magnetic properties of single crystals of Mn$_{1-x}$Fe$_x$Si solid solutions
with $x < 0.2$ are investigated by pulsed field technique in magnetic fields up
to 50 T. It is shown that magnetization of Mn$_{1-x}$Fe$_x$Si in the
paramagnetic phase follows power law $M(B) \sim B^\alpha$ with the exponents
$\alpha \sim 0.33-0.5$, which starts above characteristic fields $B_c \sim
1.5-7$ T depending on the sample composition and lasts up to highest used
magnetic field. Analysis of magnetization data including SQUID measurements in
magnetic fields below 5 T suggests that this anomalous behavior may be likely
attributed to the formation of a field-induced Griffiths phase in the presence
of spin-polaron effects.
