"We'd like to get him in the 70-pitch range, 70-to-75 pitches," Red Sox manager John Farrell said. "So [it's] a significant step in his progression and eventual return for us."
Price has already done much of his pitch count buildup through three simulated games, the most recent of which was Tuesday at Miller Park.
The Red Sox will re-assess Price after two rehab starts, the latter of which should be May 19. The earliest he would return to the Red Sox is May 24. However, May 29, on the road against the White Sox, could be more realistic.
The club will continue to monitor Price on a start-by-start basis. The southpaw suffered an elbow strain on Feb. 28, forcing the Red Sox to spend most of the first two months of the season without a five-time All-Star.
"We're going to add a frontline starter, so that's going to be an initial boost of abilities and certainly expectations," Farrell said. "That's just David doing what he typically does. Any time you can send a starter of his caliber to the mound, it gives you a boost of confidence. I think there's a number of things that are starting to come together, and certainly David's return is one."
The only thing that would prevent Price from pitching on Sunday is weather. There is currently a forecast for rain in the Pawtucket area that day.
"The forecast shows it's going to clear out of the area later in the day," Farrell said. "Just trying to communicate with the Triple-A staff and [manager] Kevin Boles and what would be the latest potential start time for a game there. That's, no pun intended, a fluid situation."
Ian Browne has covered the Red Sox for MLB.com since 2002. Follow him on Twitter @IanMBrowne and Facebook. This story was not subject to the approval of Major League Baseball or its clubs.