"Chasing After You" is a ballad about an up-and-down relationship between two people who just can't seem to shake their feelings for one another. The couple sings about wishing they could quit one another but knowing deep down that they've got something special.
When Maren Morris first heard the song it reminded her of her relationship with Ryan Hurd. She told Billboard, "It wasn't the easiest road for us to come together. We were in separate relationships when we met. We kind of grew a love out of a friendship over many years before we were out of those other relationships and could finally be together after some time. I think it reminds us of falling in love with each other and not being able to really act on it yet."
Hurd shared in an interview with Today's Country Radio that the song had been put on hold by several huge artists before landing in his and Morris' lap. He also added that he feels lucky to get to sing this duet with his wife. He said, "I felt really blessed when it kind of fell to me a couple of years ago. We were on a beach in the Cayman Islands — I think it was the first trip we ever took together — and Maren was like, 'I want to sing on that song with you.' So this is years in the making" (via Taste of Country).