Hudson, who is recovering from spine fusion surgery, allowed one unearned run on two hits and three walks in five innings in a Minor League rehab start for Gwinnett on Wednesday. He struck out four batters in the 76-pitch outing. He also threw 14 pitches in the bullpen to finish the day with 90 pitches.
The veteran hopes to throw at least 100 pitches on Tuesday.
"Stuff-wise, I feel like I'm pretty close to where I want to be," Hudson said. "I'd like to build my arm strength a little bit. I was sitting around 89-90 mph. I threw some 87 and 88s in there that I don't like seeing too much. I think after pitching more, working out and long-tossing, it will be better."
Hudson loaded the bases in the first inning against Norfolk but escaped the inning unscored upon.
"I feel good, and hopefully it goes real well and I come out of there ready to go," Hudson said.