The 25-year-old has been on the disabled list since April 21 with a right shoulder impingement.
"We won't need a starter until Sunday, so we'll see how Huddy comes through the week. If it goes smooth with him, he'd be a likely candidate," D-backs manager Kirk Gibson said. "We're not sure on that. He'd be a guy that'd push too fast. We want to get in and watch him and make sure [he's OK]."
The right-hander allowed two runs on five hits while throwing 71 pitches in five innings at Reno.
"Everything went well, and I'm ready to go," Hudson said. "I don't feel anything at all, I don't have any pain the next day at all, it feels great."
Since the injury, this is only the second time Hudson has pitched in a game. He threw for the first time at extend spring training against the Athletics last Wednesday, when he struggled with his command over 2 1/3 innings. This time around, he felt all his pitches were working much better.
"It was much better [Monday], got back in a grove," Hudson said. "Being able to get into my workout routine, it probably helped out. [All my pitches] were working pretty good, everything."
The D-backs aren't sure exactly when Hudson's bullpen session will take place, but it'll likely be Thursday or Friday.
"I feel good, ready to go, I just might not be able to go 120 pitches Sunday," Hudson joked. "I'm sure I'll be pretty pumped up on Sunday. It was a slow process, you don't want to push anything. No setbacks, knock on wood, I was pretty fortunate."