CHICAGO -- Chicago White Sox starting pitcher John Danks threw another pain-free side session on Saturday and is expected to make a rehab minor-league start on Tuesday, pitching coach Don Cooper said.

Danks went on the 15-day disabled list retroactive to May 20 after feeling an abnormal soreness in the back of his left throwing shoulder following a start against the Chicago Cubs on May 19. He has a 3-4 record with a 5.70 ERA this season.

“John Danks had a sideline [three] days ago, we’ll call it a game day on Wednesday, it was an extended sideline -- he basically warmed up, we threw him two innings in the bullpen sitting down in between try to get him going and all that stuff,” Cooper prior to Saturday’s game. “That went outstanding. Two days [off], this would be a normal sideline day in preparation for his next start. Today went well also. He’ll have two days off, and he’ll pitch in our minor-league system on Tuesday.

“Things seem to be going well. [Head athletic trainer Herm Schneider] has him on the mend, and now it’s getting him back into pitching shape. That’s why he’s going to throw out in a game.”

Danks said previously he hoped to make just one rehab start, but White Sox manager Robin Ventura said Saturday it may be two.

“We haven’t discussed it at length, but it could be [two],” Cooper said. “We’re not going to get too far ahead of ourselves. We’re trying to take it day by day really.”

If Danks were to make one rehab start, he could be ready to face the Los Angeles Dodgers (June 15-17) or Cubs (June 18-20).

Jose Quintana has filled in for Danks in the rotation. Quintana is 1-0 with 2.05 ERA in five appearances, which has included three starts. He’s scheduled to start again against the St. Louis Cardinals on Tuesday.

Danks received a five-year, $65 million contract extension in the offseason. He’ll make $8 million this season and jump to $14.25 from 2013-2016.