Chamberlain brings experience to bullpen.

Joba Chamberlain isn’t sure why another major-league team didn’t snap him up last year when Cleveland designated him for assignment at midseason, but the veteran reliever does not regret taking the rest of the summer off.

Getting to spend three months unexpectedly with 10year-old son Karter gave Chamberlain new perspective.

“I can always make more money; I can’t make more time,” Chamberlain said. “It was probably the best three months of my life. I love the game of baseball but the time I spent with my son and the actual summer I had, I can’t put a price tag on that.”

The Milwaukee Brewers hope to get a full season out of Chamberlain, 31, in 2017 after finalizing a minor-league deal Tuesday that includes an invitation to big-league spring training. If Chamberlain makes the Brewers’ roster, he will draw a $1.375 million base salary with a chance to earn more through incentives.

With the signings of closer Neftali Feliz and Chamberlain over the past week, the Brewers have added two experienced relievers to a bullpen expected to include many young arms. Assistant general manager Matt Arnold, who previously worked in Tampa Bay, saw a lot of Chamberlain when he pitched for the New York Yankees and was pleased to add him to the mix.

“He has been a tremendous pitcher for years,” Arnold said. “We kept an eye on him throughout the off-season and had some conversations with his agent (Jim Murray). It came together actually pretty quickly. We’re excited to bring him into camp and see what he can do.

“He’s a guy with experience in championship-caliber games (21 postseason appearances, including three in the 2009 World Series when the Yankees defeated Philadelphia). That will be a great resource for some of our younger guys such as Corey Knebel and Jacob Barnes that we think are going to be very good.

“The velocity is still there (93.4-mph average last season). It’s a chance to get him back to who he was a couple of years ago as a dominant force in the bullpen.”

Chamberlain came to the big leagues with intense scrutiny as a hotshot prospect with the Yankees. He was their first-round draft pick in 2006 out of Nebraska and made it to the major leagues the next year, posting a 0.38 earned run average in 19 relief appearances.

During a strong 2008 season (4-3, 2.60 ERA in 42 games), the Yankees converted Chamberlain to a starting role, where he remained in ’09 (9-6, 4.75). Since that year, he has pitched exclusively in relief.

The burly right-hander underwent Tommy John reconstructive elbow surgery in 2011, and before the next season suffered a severe ankle injury in a trampoline accident. He appeared in 45 games (4.93 ERA) with the Yankees in 2013, then signed with Detroit as a free agent and pitched 11⁄2 seasons out of the Tigers’ bullpen.

Chamberlain was released by Detroit at midseason in 2015 and signed a minor-league deal with Toronto but opted out three weeks later when he wasn’t promoted to the majors. He signed with Kansas City and appeared in six games (7.94 ERA) before going last year to Cleveland, where he posted a 2.25 ERA in 20 appearances before refusing a minor-league assignment.

“Going through it all taught me a lot,” he said. “It taught me how precious the time is that we get to play.”