Vazquez bruised his right index finger while bunting against the New York Mets on Friday night.
"Gripping the ball was OK," Vazquez said. "I should be able to throw the bullpen Monday or Tuesday."
Before the injury, Vazquez was cruising against the Mets. He had allowed just one hit while walking two and striking out six in six innings of work.
Information from The Associated Press contributed to this report.