The start had been in jeopardy after Stults was hit by a line drive by the Mets' Vinny Rottino in New York on Thursday. The ball hit him in the fleshy area of his left arm, behind the left triceps.
Since then, Stults has worn a compression sleeve on his left arm that's designed to reduce swelling in the triceps.
"I'm at the point where I feel comfortable, where I should be ready to go," Stults said.
Stults threw off the mound on Sunday at Citi Field in New York, and declared himself ready to make his next start, which came as a relief to his manager.
"We were worried a couple of days ago," Black said. "He threw 20 or so pitches [Sunday] and felt fine. He's confident."
If Stults wasn't able to start on Tuesday, the Padres were prepared to stay in-house for his replacement, tabbing right-hander Matt Palmer to start. Palmer is the designated long reliever in the bullpen, though he made seven starts with Triple-A Tucson.