A soft grip medical connector comprises a housing with an upstream end, a downstream end and a lumen extending through a central portion thereof. A flexible member comprises a valve portion integrally formed with a sleeve portion. The valve portion is positioned within a section of the housing and is configured to control a flow of fluid through the housing lumen. The sleeve is inverted to envelope at least a portion of the outer surface of the housing. In some embodiments the gripping portion is integrally formed with the valve portion. In some embodiments, the connector is also generally configured to create a positive pressure in a catheter lumen upon removal of a syringe or other medical device from the upstream end of the connector. Methods of making a medical fluid connector generally comprise forming a valve member with a sleeve extending there from, and assembling the valve, sleeve and housing.
