The USA international has attracted the attention of several clubs after an impressive first season in Serie A.
The 24-year-old is expected to put pen to paper on a three-year contract with the Giallorossi.
"There are still some minor details to sort out but we expect Bradley to join the team in pre-season training in the next few days," Roma sporting director Walter Sabatini told Gazzetta dello Sport.
Bradley joined Chievo last summer from Borussia Monchengladbach and made 31 league appearances for the Verona outfit.
He has one year left in his contract with Chievo.
The hoop soccer jersey is classic and cool. The USA hooped jersey is perfect for every fan. Get in the Gear.
Support the USA national team with an official 2013 Centennial soccer jersey from Nike. Its Official.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
Neymar's move from Santos to Barcelona is no doubt the biggest summer transfer.
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Manchester City will try and win back the Premier League title with this new soccer jersey from Nike!
England will debut their new away jersey against Brazil at the Maracana Stadium on Sunday. Get in the Gear
Germany is one of the top teams ever and they will play the US on Sunday.
The Nike Hypervenom is the latest cleat silo from Nike. It will change your game and is worn by the game's top players.
Barcelona will wear this new home soccer jersey next season. They also have a new away jersey. Get them both.