Tove Stryke named her third studio album after this song. She told Billboard
"'Sway' is not just the title track; it represents the whole album so well. It's about when you're vibing with somebody but you're not sure what it is yet. It's all new and exciting.
It's taking these small feelings or the feelings that you usually keep to yourself and amping them and making it an anthem, almost. I think those feelings, they deserve that space. I'm so happy about it."