Cameron said he expected to chair his last cabinet meeting on Tuesday and then take questions in parliament for around 30 minutes from 1100 GMT on Wednesday.
Theresa May set to be next UK PM as Leadsom withdraws from race
"After that I expect to go to (Buckingham Palace) and offer my resignation," he told reporters outside his office in Downing Street.
"So we will have a new prime minister in that building behind me by Wednesday evening."
COMMENTS
Comments are moderated and generally will be posted if they are on-topic and not abusive.
For more information, please see our Comments FAQ