Implantable grafts, particularly for arteriovenous access that may be punctured by an object such as a needle and, following removal of the object, will reseal the resulting hole to the extent of reducing fluid leakage through the graft at the puncture site to an amount less than would be typical for a conventional graft. More particularly, the grafts comprise three layers; an inner layer of implantable graft material such as ePTFE, a middle layer of self sealing elastomeric material such as silicone, and an outer layer of implantable graft material such as ePTFE. Following manufacture, the tubular form of the three-layer graft is everted to put substantially the entire wall thickness of the elastomeric material layer under circumferential compression.