An access device provides needleless access to patient fluid lines such as intravascular catheters. A septum assembly of the access device is formed from a frame integrally molded with a septum and provides access for a tubular portion, such as a male luer taper of a syringe, of a medical device. The frame of the septum assembly is bonded to the housing of the device, which minimizes axial and rotational movement between the septum and the housing, so that the access device properly operates through multiple uses.