Brown suddenly departed the tour July 11 for what he described as a medical issue.
A source, whose name wasn't reported, told RadarOnline.com Brown had a heart stenting procedure.
"He's fine," Bobby Brown Jr., 21, told the website. "He's about to go back and finish the last six shows."
His ex, Kim Ward, said the medical issue had nothing to do with his previous problems with drugs.
"It has nothing to do with him relapsing. It's definitely about his health," she said. "It's a serious health issue."
The New Edition summer tour is slated to wrap up Aug. 3 in Los Angeles.