After carrying an extra pitcher during the final three games of this past weekend's series against the Nationals, the Braves recalled Constanza on Monday and optioned right-handed reliever Anthony Varvaro to Gwinnett.
"He's swinging it really well," Braves manager Fredi Gonzalez said of Constanza. "He gives us a chance to defend if we want to late in the game, and he could pinch-run off the bench. I think he's earned the chance."
Constanza batted .355 (49-for-138) for Triple-A Gwinnett since being sent back to the Minors on June 10. The speedy outfielder's 22-game hitting streak was snapped when he went hitless in two at-bats during a rain-shortened game on Friday night.
Because they had played two extra-inning games and a doubleheader within a four-day span, the Braves opted to activate left-handed reliever Jonny Venters from the disabled list when Diaz was placed on the DL with a right thumb ailment on Saturday.