After leaving the message, Sweeney called his mother and told her he loved her before abruptly hanging up the phone, according to CNN.
Julie told CNN in 2004 she thinks the main reason Brian made the calls was to "let us know where he was, what was happening, and to give us his final love and wishes for our lives, because he knew he was on a doomed flight".
Her husband's voice helped to give her comfort in the days following the attacks.
"He was a warrior, and you just didn't believe that something like this could take him away," Julie, who is now remarried, said in a video published by the 9/11 Memorial & Museum. "All I needed was that message, and I think he very selflessly left it. I don't think he left it until he knew he wasn't coming home."
Sweeney's words can be heard at the National September 11 Memorial & Museum in New York City, where people in attendance can pick up a telephone and hear the message for themselves, as Roth did, 16 years ago today.