The singer supposedly 'raged' behind the scenes last Saturday night following his row with Len Goodman.
The pair disagreed on last weekend's live show after Will and pro partner Karen Clifton danced a Bollywood themed Salsa for Movies night.
According to The Sun newspaper, it left Will lashing out at a production member: “I don’t need this s**t.”
The publication has also suggested that Will didn't impress Karen when in training.
A source claimed to the tabloid: “Will signed up for Strictly expecting that he’d be really good and find it easy, but he struggled with it much more than he thought he would.
“He didn’t commit as much as Karen would have liked, and became very anxious about how popular he was.
“And his clash with Len seemed to be the final straw for him."
A spokesperson for the BBC however played down the reports.
“Will was in a good mood backstage on Saturday night," they insisted. "All couples fulfilled their minimum training requirements last week.”
Karen has also defended Will, taking to Twitter to comment about his exit.
"I'm so sad that Will has decided to quit the show and I know it wasn't an easy decision for him," she posted online.
Karen continued: "It was great dancing with him, he was such fun to work with and I wish him all the very best for the future."
And over the weekend, and pro dancer added: "Shame certain press have to sour what was a great time for me and Will that sadly came to an end."
Will was the third celebrity to leave the show this year and was followed out by Naga Munchetty who left in last night's results.
Strictly Come Dancing is back next Saturday and Sunday night on BBC One.