Correa, 20, was the No. 1 pick in the 2012 draft and is ranked as the No. 2 prospect in baseball by MLB.com. In a corresponding roster move, Houston optioned righthander Jake Buchanan to Triple-A Fresno.
Correa was batting .325 in High-A last season when a broken leg ended his season in June. He started this season in Double-A, where he batted .385 with seven home runs and 15 doubles in 29 games. He was promoted to Triple-A on May 11 and batted .266 in 23 games.
Jed Lowrie, who entered the season as Houston's starting shortstop, underwent thumb surgery in April and is out until after the All-Star break. Marwin Gonzalez has started at short in Lowrie's absence and is batting .227 with a .586 OPS.
Houston will also call up righthanded pitcher Vincent Velasquez, MLB.com reports.
The 23-year old Velasquez, the team's second-round pick in 2010, went 3-0 with a 1.37 ERA in five starts at Double-A Corpus Christi and will join the team in Chicago on Monday. He is scheduled to start Wednesday's game against the White Sox.
Wednesday's scheduled starter Roberto Hernandez will move to the bullpen. Hernandez has a 2-5 record with a 5.18 ERA in 11 starts this season.
The Astros (34-24) have the second-best record in the American League and lead the AL West by 3.5 games over the Texas Rangers.
- Dan Gartland and Scooby Axson