Lily was still getting acclimated to both being back at Hogwarts, and everything she learned recently. Finding out about everything that happened since she and James died had her rethinking some of her friendships and relationships, and how she would proceed with them going forward. She didn't want to believe what she learned about Peter, but knew that neither Harry or James would lie about something that important. And then there was what became of Sirius. Her heart went out to him although she wasn't going to bring up his past unless he did first.
She felt well rested despite the awkwardness of sharing a dorm bed with James, but she always did sleep better when she could wrap herself around her love. Not wanting to bother him after waking up, she decided to see who she might encounter. Of everyone she might've expected to see, Sirius wasn't all that high on the list. Though it stood to reason that he was out here since she didn't remember seeing him when she first woke up. Offering him a soft smile at the invitation, she made her way over to him.
"Sweet Sirius, I'm never too busy for you. And your right, I've missed your proper cuddles."