Binocular parallax provides a cue for the depth information when viewing a scene with both eyes. In visual telepresence systems, stereo cameras are commonly used to simulate human eyes. However, quick rotation of the cameras leads to motion blur. The use of 360-degree camera can reduce the motion blur but does not provide correct interpupillary distance. We propose a concept and method named TeleParallax, in which we use two 360-degree cameras spacing at an interpupillary distance and keep the direction of the lens constant in the world coordinate by robotic arms during three-dimensional head rotations. We considered that this method can suppress the increase of image buffers because each camera can capture the omni-directional image with the lens direction fixed. This paper introduces the design of the camera system and its potential for visual telepresence.