The Giants’ run of good health, with no significant injuries since the start of spring training, might be over.

First baseman/outfielder Tyler Austin, acquired Monday in a trade with the Twins, will undergo an MRI on his right elbow after he injured it during a throwing drill before Friday’s game.

The injured list is possible, but manager Bruce Bochy said after Saturday’s 5-2 win that he did not expect any moves ahead of Sunday’s homestand finale. The Giants are off Monday as they embark on a 10-game trip to Washington, Pittsburgh and Toronto.

Austin pinch-hit in Friday night’s 18-inning victory but came to work sore Saturday and did not play against a left-handed starter, Kyle Freeland.

The Giants acquired the 27-year-old to add another potentially potent and versatile right-handed hitter. Austin was 3-for-9 with two walks and an RBI since his acquisition.

If Austin goes on the IL, the only right-handed outfielder on the 40-man roster who could replace him is Austin Slater, but he was 5-for-31 through Friday for Triple-A Sacramento. Nonroster outfielder Mike Gerber was hitting .407 through Saturday.

Yangervis Solarte’s ability to play the outfield gives the Giants the option of calling up an infielder such as corner man Zach Green, who is off to a torrid start for the River Cats. Like Gerber, he is not on the 40-man.

Henry Schulman is a San Francisco Chronicle staff writer. Email: hschulman@sfchronicle.com Twitter: @hankschulman