A local coil system for a magnetic resonance imaging system and a magnetic resonance imaging system include a local coil. The local coil includes a pressure element that may be filled with a fluid, and a controllable fluid supply device that at least at the imposition of the local coil to the object under examination and/or during the operation of the local coil, is coupled to the pressure element. The controllable fluid supply device is embodied such that the pressure of the pressure elements attained with the aid of the fluid, imposed on the object under examination may be changed, at least area by area.