Rivas was placed on the 10-day injured list Tuesday with an injury to a tendon in his right middle finger, Jordan Bastian of MLB.com reports.
Rivas was penciled in to start in the outfield Tuesday versus the Twins, but he'll instead move to the injured list. The 25-year-old will be eligible to return before the end of the season, but it would only be for the last few games of the campaign.