Castro, who was believed to be lost for the season with a broken right hand, said there is an outside chance he could be ready to play during the last week of the season.
Castro said doctors have told him his injury, that required four pins to be inserted into the area of the knuckle at his right index finger, is healing faster than expected. He has already started a throwing program but is running out of time before the season ends in two weeks.
Lillibridge, who suffered a fracture in his right hand earlier in the homestand, was still with the team despite getting the clearance from manager Ozzie Guillen to return to his home in Seattle.
Lillibridge said he wanted to stay with the club as much as possible. He will go to Seattle when the White Sox go on their upcoming road trip, but will return again for the last six home games of the season.
Wearing a hard cast, Lillibridge said he will have his injury examined during the last week of the season in the hopes he can switch to a soft cast. He already has plans to start a hitting program in November and be at full strength for the start of spring training.