Abstract: An integrated valve assembly (10, 110, 210, 310, 410) is provided for pressure-responsive flow control for associated components, such as for nutritional administration to patients. The valve assembly includes a first connector element (12, 112, 212, 312, 412) and a second connector element (14, 114, 214, 314, 414), which are joined to each other, and which respectively define a first, internal flow passage (20, 120, 220, 320, 420) and a second internal flow passage (28, 128, 228, 328, 428). A valve member (40, 140, 240, 340, 440), which may comprise a resiliently deformable slit valve, is positioned between the first connector element (12, 112, 212, 312, 412) and the second connector element (14, 114, 214, 314, 414) for providing pressure-responsive flow control between the first, internal flow passage (20, 120, 220, 320, 420), and the second, internal flow passage (28, 128, 228, 328, 428).