Thee BBC received 17 complaints over the weekend, concerning the promotion of Oliver! and Webber's new show Love Never Dies, according to The Sun.
Webber's Phantom Of The Opera sequel opened last month, which apparently led some viewers to question "the timing" of his new BBC One talent show.
Other complaints allegedly concerned the appearance of I'd Do Anything winner Jodie Prenger on the show. Prenger performed the show tune 'As Long As He Needs Me' and wished her successor Kerry Ellis good luck in taking over from her in the role of Nancy in Oliver!. The Graham Norton hosted talent show was accused of providing free advertising for the musical.
Webber has frequently rubbished suggestions that he is interested in presiding over the BBC shows to boost ticket sales for his own shows, arguing that programmes such as Any Dream Will Do and How Do You Solve A Problem Like Maria? have benefited musical theatre around the UK.
On Saturday, the final 10 Dorothys on Over The Rainbow were revealed. The 10 contestants cut from the competition will compete via a public phone vote for one final 'Wild Card' slot on next Saturday's first live show.