Jack nodded and went to ask one of the girls for some hairspray explaining why. He knew that that way would be easier than expecting Selcusion to wear herself out.
"I'll make sure he rests yeah." He knew the Doctor would probably try to get up and do things.
He watched over the Doctor as he rested, till he fell asleep himself.

The Doctor was sleeping. He had a blanket over him. When he woke up, he did try to get up, but he was made to go back to bed. It happened a few times. He was breathing deeply as he went back to sleep.
When he awoke the next day.
He was rubbing his eyes a bit. He was feeling better. He knew the TARDIS was probably fixed.