Can you concede to a wild animal?

My last session ended with a fight on the high seas that spilled blood and attracted sharks. One of my players now wants to concede to one of the sharks. As I understand it, this should mean that the shark gets most of what it wants, but my player avoids the worst of his fate. But the only thing the shark really wants is to kill and eat my player. How do I adjudicate this? Pretty much any outcome that allows the shark to get most of what it wants involves mauling my player – which seems like another consequence. But he’s already full up on consequences – that’s why he wants to concede.