A miniature curvature wavefront sensor with a coherent fiber image bundle is proposed in which a miniature lateral displacement beamsplitter is designed to obtain the intra- and extra- focus images from a telescope simultaneously at its exit. The two images are received and relayed by two coherent fiber image bundles. The relayed images are then re-imaged to one camera and processed to obtain the input wavefront at telescope pupil. The whole device is quite compact and can be driven by a "Starbug" fiber positioning device currently under development within the Australian Astronomical Observatory. In this paper, the performance of the proposed sensor is investigated in details by applying a simulated atmospheric turbulence at the telescope pupil plane. We study the offset distance of two image measurement planes, fiber core size, fiber fill factor and the magnitude of natural guide star effects to its performance. This study provides guidance to the sensor design.