A vascular graft includes a flexible conduit including a sidewall defining a cavity extending between a first end and a second end. The first end includes an opening that is oriented substantially perpendicular to a centerline axis of the conduit. The second end includes a end wall and a tapered portion extending from the sidewall to the end wall such that the cavity includes a first diameter defined at the first end and a second diameter defined at the second end that is smaller than the first diameter. A lateral opening extends through the sidewall and is oriented substantially parallel to the centerline axis. The lateral opening positioned near the second end and is sized to provide flow communication between the cavity and a blood vessel.
