A connector for fluidically connecting a graft to a patients natural vessel to enable fluid to flow through the graft into the vessel. The connector comprises a main conduit having opposing ends each configured to be implanted in the vessel and a branch conduit having a first end integral with the main conduit and a second end connectable to the graft, wherein the branch conduit extends at angle from the main conduit at a point between the opposing ends of the main conduit.