"We hope to get him back early at the beginning of the homestand, if all goes well," Astros manager A.J. Hinch said.
Correa, who went on the DL on June 26, is scheduled to play one more game for Double-A Corpus Christi on Wednesday.
"It feels great," Correa told reporters about his back. "The rehab games, I've been really happy with them. No pain at all, no discomfort. It feels back to normal."
Correa was hitting .268 with 13 home runs and 49 RBIs in 73 games before going on the disabled list..
The Associated Press contributed to this report.