You don't think he has the energy to at least shove at Inigo? Because he does, if not very well (as much to do with his position on the bed as the exhaustion); if he's at least within reach, even if it just ends up a tap.

"Go away." And fine, his eyes close--his expression relaxed, but somehow, the ghost of a smile exists on his lips. "And thanks. ...but seriously. Go."

He's not going to get up and wander off Inigo, it's okay. He's not you!