GLENDALE, Ariz. -- It’s been a scattershot spring for Josh Osich, as he’s ping-ponged from Giants camp in Scottsdale, Ariz., to Sarasota, Fla., with the Orioles and now back to Glendale for a shot with the White Sox.

The left-handed reliever has been twice claimed off waivers this spring, both times after his prior club needed to make room on the roster. The Giants acquired righty Jose Lopez on Feb. 12 and designated Osich for assignment. A week later, the Orioles claimed Osich and kept him in camp until March 8, when they picked up outfielder Dwight Smith Jr.

“It’s only been a few days, but it’s been a little trek to Spring Training going back and forth to Arizona and Florida,” Osich said Sunday, a day after his first appearance with the White Sox. “It’s been a little difficult trying to get a routine and learning new teammates with two different teams. But other than that, I feel comfortable with everything that’s going on. Just trying to get ready for the season and try to make the team.”

Osich, 30, made his spring debut for the White Sox in the seventh inning Saturday against the Dodgers, coming in to face left-handed hitter Edwin Rios with two outs. Osich struck him out to end the inning.

“It’s the first time I’ve actually seen him live,” manager Rick Renteria said. “We were trying to put him in a situation where we could finally get the rust off him. He attacked the strike zone. He has a nice angle to his delivery. We’ll see a little bit more before we make any determination, but all-in-all, for having sat for a couple weeks, to come in to try to get one hitter out, he did a nice job.”

Osich comes to the White Sox with 10 days left of Cactus League play to make enough of an impression to earn a spot on the roster.

“I feel like if the team claimed me, that means they want me,” Osich said. “That means it’s a good thing. I just gotta roll with it and do what I can do. Show them I’m capable of getting people out.”

The southpaw has pitched a combined 2 1/3 innings with Baltimore and Chicago and allowed no runs, two hits and no walks while striking out one.

Osich pitched in 160 games over four seasons with the Giants, holding lefties to a .228 average. He broke into the big leagues in 2015, and he counts left-handed relievers Javier Lopez and Jeremy Affeldt among his mentors.

“It was a good time to listen to those guys,” Osich said of his experience pitching in Spring Training before his first call-up. “Those guys have a lot of experience.”

Lopez in particular stood out as a left-handed specialist who played a critical role in the Giants’ success, and Osich noted the impact on similar pitchers of the new rules released Thursday that would require a pitcher to remain in a game for at least three batters or through the end of the inning.

“Those guys are kind of getting pushed out of the game,” Osich said. “It’s kind of a shame, but that’s the way the game’s going.”

Osich is on the cusp of being considered a left-handed specialist himself. While Affeldt averaged more than an inning per appearance, Lopez pitched an average of 0.64 innings every time he entered the game. Osich is at his heels with a career 0.75 innings per appearance.

“With the Giants I faced a lot of lefties,” Osich said. “I don’t feel like I was as drastic as Javy Lopez, but I’m still on that spectrum. So I’m trying to figure out how to get righties out so I can stick around a little longer.”

With a 95 mph fastball and a 51.8 percent ground ball rate, Osich has shown the tools for success in the past. His challenge is to forego any thoughts of “tinker time” and get up to game speed with potentially only a few appearances in the remaining 10 days.

“There’s not really time to work on things any more,” Osich said. “That was early in spring, but I kind of missed that part. That’s all right. Go out there -- it’s part of the game.”