Hmmm...of course, we must consider that Jared said the dogs had their noses shmooshed in Jensen's face. Which isn't to say that Jensen couldn't have turned over at some point to evade the canine face-shmooshing.

The real question here is how can I trade bodies with Sadie and/or Harley? Wasn't there a movie where someone accidentally got reincarnated into their own dog?