Davie, along with BBC chair Samir Shah appeared in front of the Culture, Media and Sport Committee, where they face questions about a range of topics including the MasterChef changes, Glastonbury coverage and Gaza documentaries.
MasterChef hosts Gregg Wallace and John Torode were sacked following a report which upheld allegations against them earlier this summer.
Shah told MPs that the BBC were determined to “stamp out” bad behaviour, saying: “If you behave badly and abuse your power, we don’t want you working for the BBC.”
When asked to guarantee there would not be another “scandal of BBC talent abusing their position”, Davie said: “I don’t think you can change culture in six months and suddenly say nothing’s going to occur… we may see more things come out.
“No-one’s irreplaceable, we’re all dispensable. That’s an absolute, unequivocal position being given to the whole BBC.”
Explaining why episodes including Wallace and Torode continued to be aired after their departure, Davie said the “vast majority” of chefs wanted it to be broadcast.
He added: “I think it was on judgment the right thing to do, but I understand that you could see both sides of the argument very clearly.
“I think the consequences for the individuals who presented MasterChef have been very significant, they’re no longer working with the BBC, so there are those consequences.
“The other thing in my mind is people can choose to watch it or not, so there’s an element of trust in the audience.”
Davie was also asked if he had considered resigning in light of the scandals, admitting he’d be “inhuman” if he “wasn’t feeling the pressure”.
He said: “When you’re in these jobs, you should be held accountable. We want to grip the issues, that’s at the forefront of our minds.”