The 'Domino' singer begins her first arena tour of the UK at the end of February, around the same time that the Battle Rounds are expected to be taped.
So, not wanting to have to leave the talent contest, the 24-year-old approached chiefs at the broadcaster to see if they could come to a compromise.
Speaking on tonight's edition of Alan Carr: Chatty Man, Jessie said: "I was really gutted so I called the head of the BBC and said, ‘Can we talk about this? I don’t feel right I am the only one not doing it’.
"So I sat with them and we looked at the dates. We jigged things around and I was then able to do it."
She also revealed that her fellow panellists Will.i.am, Tom Jones and The Script frontman Danny O'Donoghue are all set to return for The Voice's second series.
You can watch Alan's full interview with Jessie tonight at 10pm on Channel 4.