The fact that she's willing to put any effort in at all is a good thing. Han thinks, anyway.

He'll not meditate too deeply on the fact that she didn't hesitate to offer her help on something that was going to separate the two of them faster, because he ... well, maybe he's projecting, but he hopes that maybe it's because she realizes more than others how badly he's homesick.

The Captain thought for sure that he saw some genuine glimpses of concern for him in her desensitized facade. "It means more than you know." He murmurs finally. What the 'it' actually is? That's for her to decide.