In June, Corbyn faced a motion of no confidence and saw half of the shadow cabinet resign in protest at what they claimed was his inability to lead the main opposition party after Brexit. Corbyn refused to resign and said he would take part in the party leadership election due to take place on August 22.
"We [Labour] are in a really difficult position now. In this leadership election Corbyn is very likely to win comfortably. But at the same time he will not have the support of his members of parliament…. If this happens, then Labour MPs will have to accept the outcome of this leadership election, get behind him and campaign to win in 2020," Chilton said.
"But he has got enormous support among Labour party members," Chilton added.
Aside from Corbyn, former Shadow Secretary of State for Work and Pensions Owen Smith will be included on the ballot.