The awkward lull of random conversations... Spike felt both at home in and uneasy with the silence. He wasn't much of a talker when he was in a rancid mood, and usually didn't bother talking to women who looked young enough to possibly still be kids. Except Ed, who was the exception to every rule ever written, spoken, or thought. And some not yet foreseen.
He picked up the fruit pie and took another bite, though it wasn't particularly appetizing in his current state of mind, for the sake of having something to do. "Yeah. That might be a good idea..." Spike knew all too well what it felt like to lose a lover, someone to whom he'd given his heart. It had killed him in nearly all ways but the most literal when Julia chose to stay. And Lily... Well, even if her world was at war, there was the possibility that she wasn't accustomed to death and loss which hit so close to home. Plus, he'd never seen Julia die. For all he knew, she could still be alive... somewhere...
Spike cleared his throat and gestured with a slight tilt of his head in the same general direction as Jaime had. "If you think it might help..." So maybe it was a vague offer and awkward for him to do something that showed concern - and maybe he felt far from his comfort zone in doing it - but he didn't want to consider what might happen to the poor girl (or woman; he'd never actually met Lily) if she fell too deep into depression. "Maybe she could use someone who understands."
Of course, he wouldn't even know where to begin with the horribly-awkward task of being nice or comforting someone, and he didn't even know Lily or just how much Jaime might actually be able to sympathize. But... Well, a small part of him fell into the 'misery loves company' category... and he certainly didn't want to let their abductors have the satisfaction of breaking the girl. Yeah, that... Somehow, Spike was more comfortable with the prospect of selfish motives. And he'd left his offer unspecific so that he could make it seem as if Jaime had volunteered him if she understood just what he meant.