Feeling her stumble, Jess took a firmer hold and hoped to keep that from happening again. The last thing she needed a stumbling dizzy person, mainly because it went hand in hand with vomiting. Not only did she not desire to clean that up, she didn't want it on her. As much as she went into the medical profession to help, it was not to be thrown up on.
"No need to thank me really," Jess said, but she focused on keeping them moving but at a pace that was suitable for the girl. "So, what's your name." This was both for benefit of learning it and to know if the girl could remember even her own name. She was pretty sure she had an idea of who she was, but being a new face this did have its downsides and that was not knowing everyone. Plus getting her talking and hopefully staying up right and awake would do her some good.
Jess was eager to get her to the infirmary as quickly as possible though. Luckily Jess wasn't hurt, because in this case her injuries would have taken a back seat.