Joba Chamberlain left the team Monday, a day after his father collapsed, and traveled to Nebraska to be with his dad.
"His father is progressing. He's about 40 to 50 percent on the ventilator. He sat up a couple times today for like a half an hour," Yankees manager Joe Girardi said Wednesday. "Joba said he's getting a little bit antsy, so that's a good sign. So he's doing much better."
Girardi isn't sure when the reliever will be able to rejoin the Yankees.
"There's still some more tests, I believe, that have to be run," Girardi said. "But obviously, his father is doing much better than he was a couple of days ago."
Hank Steinbrenner, a co-chairperson of the Yankees, said he spoke with Chamberlain on Wednesday.
"Asked everything about his dad. Is he happy with the treatment he's getting. Told him, 'Just take his time,'" Steinbrenner said in Tampa, Fla.
Also Wednesday, catcher Jorge Posada said he planned to resume throwing. Girardi said Posada, who hasn't started behind the plate since April 8 because of a dead arm, could be catching again in a few days.
Infielder Wilson Betemit, on the disabled list with corneal ulcers, said he was taking eye drops and will be re-examined next week. Betemit said his eyes originally started bothering him in December, and they bothered him during night games in spring training.