The two reality shows will go head to head on March 24 as they kick off their latest series.
William Hill think that the ITV show will just sneak it in the ratings war, offering 4/7 that BGT tops The Voice on opening night (5/4 vice versa).
Hills are also offering 3/1 that The Voice delivers 10 million plus viewers on the first night.
Meanwhile Jessie J is the 13/8 favourite to be the winning manager, while will.i.am is 5/2. Music legend, Tom Jones is 11/4 with Danny O’Donoghue 4/1.
“The odds suggest that BGT will pip The Voice to the finish line, but should enough people be intrigued by the format, The Voice could get over 10 million,” said Hill’s spokesman Joe Crilly.