Braves manager Fredi Gonzalez remains hopeful that Constanza could return to his lineup before the completion of this week's four-game series against the Cubs.
"Maybe as early as [Wednesday]," Gonzalez said. "We'll see."
Constanza has battled problems with his right ankle during his Minor League days and had a brief scare earlier this month when he made an awkward slide into second base. He turned his ankle on the play and ended up spiking Mets utility man Daniel Murphy, who suffered a season-ending left knee injury on the play.
Constanza has batted .372 with seven stolen bases and a .417 on-base percentage through the first 23 games of his Major League career. Tuesday marked just the second time he has been out of the starting lineup dating back to his July 29 Major League debut.
Jason Heyward started in place of Constanza in right field Tuesday night.