A movable floating connector is disclosed. In an embodiment, an apparatus includes a fixed structure coupled to a chassis, a movable floating connector assembly, and an elastic object. The movable floating connector assembly includes a receiving connector configured to engage with a module connector of an insertable module removable from the chassis. The elastic object is interfaced between at least a portion of the fixed structure and at least a portion of the movable floating connector assembly. The elastic object is configured to provide a force on the movable floating connector assembly against a direction of insertion of the insertable module to maintain a consistent engagement between the receiving connector of the movable floating connector assembly and the module connector of the insertable module across a variation in length in the direction of insertion.