Triple-A Worcester placed Campbell (lat) on the 7-day injured list Tuesday.
Campbell was removed from Triple-A Worcester's game Wednesday versus Syracuse after feeling a spasm in his left shoulder while running the bases, Tommy Cassell of the Worcester Telegram & Gazette reports.
Campbell was promoted to Triple-A Worcester on Sunday, Chris Cotillo of MassLive.com reports.
The Red Sox will promote Campbell from High-A Greenville to Double-A Portland on Monday, Alex Speier of The Boston Globe reports.
The Red Sox have selected Campbell with the 132nd overall pick in the 2023 First-Year Player Draft.