D-backs manager Kirk Gibson watched Hudson throw around 55 pitches Monday morning at the club's Spring Training facility in Scottsdale and came away impressed.
"He looked good," Gibson said. "He was overthrowing in the first inning but he came back in the second and had much better location. Overall it was good."
Moving forward, Hudson will begin throwing on a regular five-day cycle with a bullpen session in between each outing.
"I think he's ready in his mind to progress into games and compete," Gibson said. "We'll see how it goes now that he's getting into more innings and competing in games; he might get sore. We'll try to get him into what he would be doing if he were with us."
As for Eaton, who suffered an elbow sprain in Spring Training, he'll go out on a Minor League rehab assignment beginning sometime at the start of May with the hopes of being ready to rejoin the D-backs at the end of the month.
At first, Eaton will only serve as a designated hitter in the Minors, then around May 15-20, he'll begin building up innings in the outfield. Gibson said he could be activated around that time or the club could wait a little longer depending on the team's current situation.
"It could be that early if there is a need, but our preference would be to let him continue to play," Gibson said.
Tyler Emerick is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.