A connector assembly includes a connector module having a connector body with side edges and end edges. The connector body has contact channels holding contacts. The connector assembly includes a mounting frame having side walls and an end wall opposite a window between the side walls. The window is open to and provides access to a passage that receives the connector module. The mounting frame includes a connector module support structure for supporting the connector module in the passage that defines a confined space oversized relative to the connector body of the connector module to allow a limited amount of floating movement in the confined space in a lateral direction that is perpendicular to the mating direction.