Rios was left hopping in pain on his left foot after fouling off the first pitch he saw from Blue Jays rookie right-hander Marcus Stroman on Saturday. After a brief conversation with manager Ron Washington and the trainer, Rios limped back to the dugout and headed for the clubhouse. X-rays were negative.
Daniel Robertson replaced Rios, who is batting .302 with four homers and 42 RBIs.
Rios was not in the lineup for Sunday's series finale.
The injury-riddled Rangers currently have six players on the 15-day disabled list and eight more on the 60-day DL.
The Associated Press contributed to this report.