Yes, to the degree that you accept the existence of a Big World, together with the usual assumptions about personal identity, you should expect never to die.

Even if there is no Big World, however, no one will ever experience dying anyway. Your total lifespan will be limited, but you will never notice it come to an end. So you might as well think of that limited span as a projection of an infinite lifespan onto an open finite interval. So again, one way or another you should expect never to die.