She previously suffered a stroke as a result of the condition when she was just 18.
She pulled out of an Australian tour earlier this year as doctors were concerned about the strain put on her heart by singing high-pitched tracks, such as her hit Laserlight.
Jessie J was left wheelchair-bound in 2011 by a serious foot injury after she fell off the stage rehearsing for a concert.
She revealed in 2013: "I've had a bone transplant, a fusion, a metal plate and four bolts put into my foot. That accident almost cost me the ability to walk!"
The star has a number of live performances coming up in July, including Wireless Festival, The Henley Festival and shows in Belgium and Denmark.
She will also make her debut appearance on The Voice on Sunday, when the pre-taped live auditions begin. Her fellow judges include Ricky Martin, Delta Goodrem and Benji and Joel Madden.
- PAA