He isn't done fast enough, honestly, because Amy just isn't one to comfort little furry things, not on a long term basis. Sure, she tries to be helpful, but this is broaching weird. At the same time, it's weird in a way she appreciates, like it's a big burst of nostalgia that brings her right back to the TARDIS. She can practically see the Doctor doing exactly this, which is why she's putting up with it.

"What sort of supplies? I don't think I remember seeing squirrel casts around," she jokes, handing off the squirrel the second he's willing to take her back.