Rodriguez committed two errors in each of his last two games to become the first American League player since the Tigers' Carlos Guillen turned the trick April 18-19, 2006.
Rodriguez's first two errors came in Monday's game against the Red Sox despite playing just two innings in the field. He followed it up Tuesday with a bad throw in the third and another in the sixth that cost Tampa Bay a run.
After it was all said and done, Rodriguez had been charged with four errors in the span of eight innings over two days.
Manager Joe Maddon said after Tuesday's game that he doesn't believe the broken right hand that sidelined Rodriguez is affecting his defense.
"I honestly don't think so," Maddon said. "Talking to [third-base coach Tom Foley] in the pregame [meeting], he's done well, he's done fine. He hasn't played in a while, that part is defendable, but those are plays that he normally makes.
"I think he's fine, his throwing arm is fine, his hand is fine. He's gone through everything for days. His hitting should be more impacted than his fielding because he's been taking ground balls, he's been throwing."
With the recent string of poor play defensively, Rodriguez has a team-leading 18 errors in 135 games. His fielding percentage also dipped to .953, the lowest mark for players who have started at least 40 games.
Third base has been particularly problematic for Rodriguez, who has just an .894 fielding percentage and 11 errors at the hot corner.
Evan Longoria was back in the lineup at third for Wednesday's game.