Toz's body was brimming with power after refining all his attributes and sitting still for so long, and he practically burst out of the camp as he rushed to join up with the other cats, all except Lucy. Toz had asked Lucy if he wanted to take a break and come along since he was worried about leaving Lucy all alone in the camp. But Lucy didn't even hesitate before refusing and saying that he was onto something.
Lucy had already proven that he knew when to fall back and when to advance, so Toz felt almost at ease leaving the camp. He shouldn't shake off all of his worries, but there wasn't much he could do since Lucy wanted to stay back. He would have felt more secure if Lucy were to maintain some form of communication through their bond. But Lucy was worried that someone would sense that and track it back to either himself or Toz, so he isolated himself.