"It's still up in the air," Indians manager Manny Acta said.
On Tuesday, Cabrera was out of the lineup for the second straight game due to the right wrist ailment, which has bothered the shortstop off and on all month. Acta noted that Cabrera might be available off the bench for defense for Wednesday's game against the Rangers.
Acta said the hope is that Cabrera will be ready to play by Thursday.
Through 128 games, Cabrera has hit .267 with 14 home runs, 31 doubles and 56 RBIs. The shortstop hit .300 with 11 home runs and 40 RBIs in his first 69 games, but has hit just .228 with three homers and 16 RBIs over his last 59 contests.
Tribe general manager Chris Antonetti did not believe the wrist injury was serious enough to threaten Cabrera's season.
"It's something he's battled through," Antonetti said. "Based upon the information we have and all the results, he's not going to do additional damage by playing. It's a question of how much he can tolerate. I think some days it feels better than others. Obviously, we'd like to have him in there as much as we can."