An endoluminal valve (30) for controlling fluid flow during a surgical procedure is integrated into an access branch (24) of a tubular prosthetic device (10), the access branch (24) receiving a delivery system (100) including a shaft (110), a housing (112) with a depressible finger actuator (122) configured to contact a resilient wall surface (38) of inwardly tapering closure elements (40) of the integrated valve (30), and a fluid venting plug (133) on the shaft (110) which removably seats in an access opening (34) at the proximal end (32) of the endoluminal valve (30), wherein the proximal end (32) is secured within a lumen (26) of the access branch (24) and a distal end (36) of the endoluminal valve (30) located within the lumen (26) comprises self-sealing edges (42) coming together to form a flow-inhibiting seal.