The Tennessee Titans selected Smith in the third round with the 100th overall pick in the 2017 NFL Draft. Smith was the sixth tight end selected in 2017 and was the seventh player selected in FIU's school history. He was the third-highest selection in school history, behind Indianapolis Colts wide receiver T. Y. Hilton (92nd overall, 2012) and former Jacksonville Jaguars safety Johnathan Cyprien. (33rd overall, 2013). He also became teammates with Cyprien who signed with the Tennessee Titans as a free agent during the offseason. Throughout the draft process, Smith drew numerous comparisons to the Titans' tight end Delanie Walker. The Titans selected Smith due to the heavy comparisons and to fill a void in their two tight end sets after Anthony Fasano departed in free agency. Offensive coordinator Terry Robiskie drafted Smith to complement Walker in their two tight end sets they used heavily the previous season.