Sidelined since straining his right hamstring while sliding in a game against Boston May 4, Posada also batted in the simulated game. The five-time AL All-Star threw to second from behind the plate and ran the bases after the game.
Yankees manager Joe Girardi said Posada would catch five more innings on Thursday, adding that Posada is "not that far from playing shape."
"It's realistic we could see him in four or five days," Girardi said before the Yankees played in Texas on Tuesday night.
Posada and Nady could play in a minor league game this week.
In other news, right-handed reliever Brian Bruney will have his troublesome elbow examined by orthopedist Dr. James Andrews in Birmingham, Ala., on Wednesday.
"It's for everyone's peace of mind," Girardi said.
Bruney was placed on the 15-day disabled list Monday, retroactive to May 20, after a throwing session left him uncomfortable. This is Bruney's second stint on the DL this season with the strained elbow.
MRIs have shown no structural issues, but Bruney asked to see Andrews to make sure his elbow isn't damaged.
When healthy, Bruney has been an effective eighth-inning setup man for Mariano Rivera, going 2-0 with a 3.00 ERA in 10 appearances. Girardi has tried other options but Bruney's been the Yankees' best reliever in that role.
"We need him over the long haul," Girardi said.