The thermodynamic behaviour of a semi-infinite cholesteric sample close to
a disordering surface is analyzed within the frame of the Landau-Ginzburg-d
e Gennes theory. In particular, the effect of the boundary on the field-ind
uced cholesteric-nematic phase transition is considered. The appearance of
a nematic layer on the top of the cholesteric bulk phase is predicted and a
n experiment which could possibly demonstrate this phenomenon is proposed.