The Titans have not yet announced when they will begin training camp, but the Buccaneers have recently set July 21st as their start date. In 2019, the Titans and Bucs started training camp on the same day, so I would look for the Titans to get started around July 21st as well.
What this means is that the Titans have about a month waiting period before their season kicks off. The roster is probably just about set, but i’m still watching what Jadeveon Clowney does.
Other than maybe a Clowney signing, I don’t expect any other big additions before the season.