The move with Eaton was made retroactive to April 9, as he has missed the Nationals' past two games with the injury. Wieters returns to the Nationals after missing eight games with a left oblique strain. He was 1-for-7 in two games with two walks and a run scored before his injury.
Outfielder Moises Sierra was recalled from Triple-A Syracuse. He had a strong spring training for the Nationals, hitting .321 with two home runs and 11 RBIs in 30 games.
Catcher Miguel Montero, meanwhile, was designated for assignment after he went 0-for-11 with two walks. Pedro Severino will be the primary backup after batting .368 since being called up when Wieters went on the DL.
Eaton tweaked the ankle last Thursday while scoring from first on Anthony Rendon's double in the Nationals' home opener against the New York Mets. He left the game as a precaution, but manager Dave Martinez said afterward that X-rays did not reveal structural damage.
He returned to the lineup Sunday before missing the past two games. In eight games, he is batting .345 with two home runs, five RBIs and 10 runs scored.
Eaton sprained the same ankle in April 2017 on a play in which he suffered torn knee ligaments, ending his season.