"Every moment I get, I pick up a ball and practice my grips," Moylan said. "Today was nice to be able to let some go."
Moylan, who had back surgery May 17 for a herniated disc, threw two sets of 15 pitches between 45 and 60 feet. He may throw again on Friday or Saturday.
"There's no way that I could be further along. It's a time thing," Moylan said. "It's methodical. I've tried pushing at every stage. ... I am where I am and I haven't had any setbacks. This is as quick as I could possibly have gotten to where I'm at."
If Moylan continues his throwing program with no unforeseen issues, he'd likely return to the Braves sometime around mid-August.
"I guess with no setbacks it would probably be about a month or five weeks," Moylan said. "I don't know how quickly they're going to want to push me, but I haven't felt anything in my back. It feels amazing."
His return will bolster a bullpen that recently lost another pitcher who was rehabbing toward his return to the club, as right-hander Kris Medlen has been shut down for six weeks to rest his elbow.
"It is what it is. That one little area didn't heal correct," manager Fredi Gonzalez said. "I'm sure the competitor that he is, I'm sure he wanted to get in there."