Wiktionary
suck into
vb. To cause someone to become slowly more and more involved in a business or situation that is often not to that person's liking.
Usage examples of "suck into".
Blood stained her teeth, ran along her lower lip, and she sucked at it, as if she could suck into herself her own feelings.
Traffic was light, and there weren't many pedestrians to annoy, or too much in the way of detectable pollution to suck into their lungs.