"We're trying to take every precaution to keep him sharp," Girardi said.
Home-plate umpire Gerry Davis ejected Pineda in the second inning on Wednesday after finding a brown substance on Pineda's neck. Following the game, Pineda admitted it was pine tar. On Thursday, Major League Baseball suspended Pineda for 10 games.
Pineda, whom the Yankees acquired in a trade with Seattle in January 2012, was having a strong start to a critical season for both him and the team. Through four starts, he was 2-2 with a 1.83 ERA, three walks and 15 strikeouts over 19 2/3 innings.
Girardi said Pineda will likely threw another bullpen session on Friday.
"And then he'll be ready to go on Monday, "Girardi said, "like he's getting an extra day's rest."
Chris Iseman is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.