The supervisory board of the world's leading carmaker will meet a day ahead of schedule and announce its decisions in a statement, a source close to the company told AFP.
The meeting will begin at 5:00 pm and end "late in the evening", the source said.
Volkswagen on Tuesday announced it was considering reshuffling its board and replacing Mueller, in a move that sent stocks in the company surging.
German business newspaper Handelsblatt and national news agency DPA reported Herbert Diess, head of the VW brand -- one of the group's 12 makes of cars, trucks and motorbikes -- was slated to take Mueller's place.
Longtime CEO Winterkorn quit days after the firm admitted to installing software in 11 million diesel vehicles worldwide designed to cheat regulatory emissions tests in a scandal that became known as "dieselgate".
Mueller, 64, has steered the mammoth carmaker into a massive restructuring, aiming to offer electric versions of many of its models and slim down its operations over the coming decade.
On his watch, the VW group last year held on to its title as the world's largest carmaker and made a net profit of 11.4 billion euros ($14 billion).
But he has himself landed in prosecutors' sights over suspicions he may have known about the diesel cheating before it became public and failed in his duty to inform investors.
Diess, known as a "very good cost manager", would be "the best solution as a successor for the next five years," he added.
Shares in Volkswagen climbed 1.7 percent to 176.06 euros in late morning trade in Frankfurt, vastly outperforming the Dax index of leading shares that was up just 0.1 per cent.
Dieselgate has so far cost VW more than 25 billion euros in buybacks, fines and compensation, and the carmaker remains mired in legal woes at home and abroad.
Suspicions of emissions cheating have also spread to other carmakers, shattering diesel's image as a clean engine and prompting several smog-clogged German cities to mull diesel driving bans.
Despite the challenges, Mueller has managed to bring VW's share price and profits back up to pre-crisis levels, as customers appeared to largely shrug off the negative headlines.
But observers say he made little progress in shaking up VW's famously hierarchical corporate culture, which some critics believe discouraged employees from speaking up about the diesel scam.
Described as highly ambitious, Diess has earned a reputation as a fierce cost cutter unafraid of pushing through big changes.
German media say such a move would be interpreted as a goodwill gesture towards union leaders, with whom Diess has had a tense relationship in the past. One of Diess's biggest challenges as he takes the helm at VW will be to clarify the group's vision for the future as the auto giant navigates between a pivot towards electric vehicles and clinging to the diesel technology it has invested so heavily in over the years.
Just last month, Diess said: "We need diesel, diesel has a future.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)