An assembly of an engine fan case and a nacelle air inlet for a turbine engine, the turbine engine extending along a longitudinal axis and comprising at least one fan mounted so as to be rotatable about the longitudinal axis, the fan case comprising at least one first peripheral lining, the first peripheral lining being made of an abradable material configured to be capable of being worn out during the rotation of the fan, wherein the nacelle air inlet comprises at least one second peripheral lining, the second peripheral lining being made of an abradable material configured to be capable of being worn out during the rotation of the fan.