Dodgers are close to signing pitcher Brett Anderson

The Dodgers are expected to make a high-risk, high-reward addition to their rotation in the coming days, as they are close to finalizing a one-year, $10-million contract with often-injured left-hander Brett Anderson.

Anderson, 26, owns a career earned-run average of 3.73 and was the opening-day starter for the Oakland Athletics in 2013. Some observers rank him as one of the top left-handers in baseball when healthy.

The deal is pending a physical examination, according to people familiar with the situation who spoke on the condition of anonymity because the agreement isn’t official.

Anderson could round out a rotation that includes Clayton Kershaw, Zack Greinke, Hyun-Jin Ryu and Brandon McCarthy, who agreed to a four-year, $48-million deal last week. Like Anderson, McCarthy is considered a medical risk.

Anderson has been limited to 123 innings over the last three seasons, including 43 1/3 innings last season with the Colorado Rockies. The last time he pitched more than 100 innings in a season was in 2010.

Anderson became a free agent last month when the Rockies declined his $12-million option for next season. He made eight starts for them this year and was 1-3 with a 2.91 ERA.

Concerns about Anderson’s health are reflected in his proposed deal with the Dodgers. Anderson could earn an additional $4 million in incentives based on innings pitched. To collect the full amount, Anderson would have to pitch 200 innings.

Although Anderson has been frequently injured, he hasn’t had any serious arm trouble since 2011, when he had elbow ligament replacement surgery.

Last season, he was sidelined because of a broken finger and herniated disk in his back. Both injuries required surgery. The season before that, he suffered a fractured foot.

Short hops

Matt Kemp is scheduled to undergo a physical examination Tuesday with the San Diego Padres. The examination could finalize Kemp’s trade to the Padres. … The Dodgers sent minor league right-hander Craig Stem to the Miami Marlins to complete their Nov. 17 trade for outfielder-first baseman Kyle Jensen.

dylan.hernandez@latimes.com

Twitter: @dylanohernandez