Vaughan, still England's Test skipper, formally announced he was giving up the leadership of the one-day side on Monday although he said he still wanted to play both forms of the game.
As recently as last month, Vaughan spoke out against a split captaincy.
And on Tuesday, after England wrapped up a 3-0 Test series win against the West Indies at the Riverside, he said having two skippers "could be the end of MV", just as his appointment as one-day captain heralded the end of predecessor Nasser Hussain's time in charge of England four years ago.
Both Vaughan and England endured a poor World Cup in the Caribbean, the side failing to reach the semi-finals.
The 32-year-old Yorkshire batsman didn't improve on a mediocre one-day record that has seen him yet to score a century in an 86-match career where his average is 27.15 compared to a Test mark of just under 44.
"I'll be honest I made the decision in my heart in West Indies," Vaughan told reporters after stumps at the Riverside here Tuesday.
"But I didn't want to just come out and say that because I thought there'd been enough talk," he added, explaining he'd been influenced by coach Duncan Fletcher's decision to quit.
"Duncan had just resigned, so I came home and spoke to a lot of people but not one of them told me to stand down, so I thought maybe I should carry on.
"Then two weeks passed by and I remember sitting at home with my wife and saying it's just not the right thing.
"So it's the right time to get a new captain in charge and give him as many games as he needs to be a good one-day captain because he needs 60-70 matches of experience.
"Big decisions will be the difference between winning and losing."
He added: "I said I didn't think split captains would work but if it's going to work it will with someone like me because I'm pretty chilled.
"I'm very confident that it can work but let's just wait and see. If a new captain comes in and does a magnificent job that's the end of MV.
"I'm just happy to be playing cricket. We have never been a good one-day team (England haven't won a major international one-day tournament) and we need to start winning."
England are due to announce on Friday their squad for the upcoming two Twenty20 clashes and three one-day internationals against the West Indies.
"I certainly don't expect to be picked on Friday because I think a new captain would find it very difficult captaining me a week after I've led him in a Test," said Vaughan.
"He deserves a little bit of time to get his authority over to the team, and if I was there it might be difficult for him. So I think it's best for the team that I'm not there for a while.
"Who knows, if I'm playing well in a few months or next year that I won't come back into the one-day team. But my one-day record isn't that good and it could be a long shot."
Asked who his successor should be, Vaughan replied: "Paul Collingwood would make a good captain, as would Andrew Strauss and Kevin Pietersen. But whoever gets it, I wish them all the luck in the world."
Vaughan has spent much of the past 18 months on the sidelines injured, mainly as a result of a longstanding knee problem.
"The 18 months I've had has been a tough time. I knew my knee hadn't been great but over the past few weeks it's been as strong as it has been for years. "I'm moving okay in the field, apart from when I missed the ball and my pants (trousers) fell down," said Vaughan in a reference to an embarrassing slip on Tuesday. "But I'm committed to be as good a Test captain as I can be."