Odorizzi, 32, started on Sunday during the Astros' 3-2 victory over the Seattle Mariners. The veteran allowed two hits and struck out a season-high eight in seven scoreless innings versus Seattle, and he didn't yield a hit until the fourth inning.
He is 4-3 with a 3.75 ERA and 46 strikeouts this season. The 32-year-old starter, who has also pitched for the Minnesota Twins, Tampa Bay Rays and Kansas City Royals during his 11 MLB seasons, has a career 72-66 record with a 3.94 ERA.
Smith, 33, has five saves with a 4.38 ERA this season, his third with the Braves. He has 91 career saves with a 3.61 ERA while pitching for Atlanta, the San Francisco Giants, Milwaukee Brewers and the Kansas City Royals.