Outside of times that Thor woke him to check on him, Loki would sleep for almost ten hours. His body needed a chance to recover from the shock of everything and frankly he was just exhausted from overexertion. Combine that with the fact that he felt safe, despite everything that had happened, he was content to rest and allow his brother to watch over him.

Though he'd no doubt feel horrible later.

When he finally did rouse it was slow going, Loki clinging to sleep as tightly as he could but his brain demanded that he get up and start being active again. He uncurled from where he had settled, wincing faintly as his head ached briefly from the movements but compared to what the pain had been? This was a dream.