The Rays are unlikely to make any moves ahead of the July 31 non-waiver trade deadline.
"I like what we have now," Joe Maddon said. "With everybody staying well I don't anticipate us doing anything."
Tampa Bay reached the All-Star break with one of their best teams in the past six seasons. Their win total through 90 games - 50 - was the third-most in team history behind the division-winning 2008 and 2010 teams.