Bruce, who has also worked on the Take That musical Never Forget and So You Think You Can Dance, is reportedly the front runner to replace Alesha Dixon after impressing bosses with two screen tests.
As well as being on the shortlist for the job, alongside Karen Hardy and previous winner Kara Tointon, she has also received backing from the show's professional dancers, The Sun reports.
"Karen has really impressed bosses. She is gutsy and ballsy and not afraid to give her opinion or say what she thinks - which is just what Strictly needs," an insider told the paper. "She also comes with an expert knowledge of dance.
"Alesha had a high profile but she never had that detailed knowledge. But the major concern is that Bruce is far from a household name - and this could still get in the way of her getting the job."
A decision is expected within the next few weeks when the BBC replaces executive producer Moira Ross, who recently left Strictly Come Dancing for The Voice.