Whitney Houston, who checked into a rehab center on March 23 and was released late last month, is due to begin recording a new studio album next week, says her producer, Clive Davis.

The veteran music mogul tells TV’s Access Hollywood that Houston, 41, will be finishing an album that she had previously started.

This visit to rehab was the second time the singer had sought treatment in just over a year. In March 2004, Houston entered a facility for substance abuse – only to check out just five days later to begin private care.

According to a source close to the troubled diva, it was her mother, gospel singer Cissy Houston, who petitioned a Georgia court to order her famous daughter to seek help in a rehab facility this year, PEOPLE reported.

Whitney eventually entered the Crossroads treatment center (founded by musician Eric Clapton) in Antigua, West Indies, leaving in late April after almost a month. She rejoined the family in an undisclosed Caribbean spot, an insider told PEOPLE.

Her rep confirmed that Houston is “entering the second phase of her treatment.” Cissy’s rep had no comment.

Meanwhile, plans for a reality show featuring Houston’s husband of 13 years, Bobby Brown, moved forward with the announcement that eight 30-minute episodes of Being Bobby Brown will air on Bravo starting June 30. The cable network promises that “the series will demystify Brown’s relationships with Houston” and their daughter Bobbi Kristina, among other things.