"We're pretty confident that he'll start throwing [this coming] Saturday," said manager Joe Girardi, who indicated that Pineda will not need another MRI.
"Our doctor felt that it would not be necessary because it was fairly minor -- the amount of inflammation, compared to what it was -- and that a week would be plenty sufficient."
Pineda was scratched from a June 1 intrasquad outing when he felt soreness behind his right shoulder, a setback forcing him to essentially start from scratch.
He sustained the initial injury while throwing a simulated game in Tampa, Fla., in April, attempting to stay sharp while serving a 10-game suspension levied after he was ejected from a game at Fenway Park for having pine tar on his neck.
The righty hasn't pitched in a game since April 23 against Boston.
Jamal Collier and Jake Kring-Schreifels are associate reporters for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.