Swift wrote "Better Man" for Little Big Town, and the tune topped Billboard's Hot Country Songs chart this month -- bringing Swift's name back to the country charts after launching her powerhouse pop career in 2014.
Charles Kelley of Lady Antebellum said they would maybe want Swift to write "a nostalgic song ... we like nostalgic songs."
And Kelley said there's something else they want: a No.1 smash.
"I hope it would be No.1. That's all I want," he said. "It better go No. 1 though. If we cut a song and it goes like No. 2, I'm going to be so disappointed."
Swift performed "Better Man" and "This Is What You Came For" at a pre-Super Bowl concert this past weekend. The Harris track, which earned Swift a writing credit under alias Nils Sjoberg, features Rihanna. It peaked at No. 3 on the Billboard Hot 100, giving Harris his highest placement on the chart as a lead artist.
Lady Antebellum recently released a new single, "You Look Good," and their new album, Heart Break, comes out June 9.