NEW YORK -- On Sunday morning, before the White Sox 4-2 loss to the Yankees, reliever Jesse Crain tested the soreness in the back of his right shoulder that has kept him off the mound since last Saturday against the Brewers. Crain played catch in the visitors' bullpen while the Old-Timers' Day exhibition was taking place at Yankee Stadium.

"I threw a little bit off the mound with tennis shoes on to get an angle, and it's definitely an improvement from all week," Crain said. "So I'll take that as a step forward. I'm getting some treatment tomorrow and will throw again on Tuesday and hopefully be able to throw a 'pen [session] on Tuesday."

Throwing that bullpen session could be a deciding factor as to whether the right-hander is placed on the disabled list retroactive to his last appearance -- in Crain's mind, at least.

But even with Crain's recent bout of inactivity, manager Robin Ventura doesn't believe the veteran right-hander is headed to the disabled list.

"He's gotten a pretty good prognosis of what it is," said Ventura of Crain, who was unavailable during Chicago's four-game series against the Yankees, which the clubs split. "It's giving him some time, and hopefully that will do the trick. I don't foresee a DL stint for him."

Crain was out from April 21 to May 14 with a left oblique strain, and he missed time during Spring Training with a right oblique strain.

Philip Humber made his first Minor League rehab start for Triple-A Charlotte on Sunday evening. The right-hander, on the disabled list with a right elbow flexor strain, worked 2 1/3 innings and threw 52 pitches against Gwinnett, throwing 28 strikes. He allowed two runs while striking out three and walking two.

Additional exam set for Danks' shoulder

NEW YORK -- White Sox lefty John Danks was sent back to Chicago for further examination on his sore left shoulder and a diagnostic ultrasound will be performed on the area.

No additional MRI exam was needed, according to the White Sox. Danks is expected to resume his rehab program on Tuesday for the left subscapularis strain that has kept him out of action since he beat the Cubs at Wrigley Field on May 19.

Danks has played catch three times during the past week but was frustrated by the fact that the soreness in his shoulder had not changed. Manager Robin Ventura said on Sunday that he hadn't really thought about Danks' return in the second half at this point of his recovery process.

"Again, I think we're fortunate to be able to think that way with what [fill-in starter Jose Quintana] has done," Ventura said. "We want to get him healthy first, and it keeps lingering and lingering and you can't look at him as, 'We're counting on him on this date.'

"Every time we've done that, it's been pushed back. Just get him healthy, and Q just stays in that spot."