The Department of Transport (DfT) hopes to remove the toll booths by 2012 to ease traffic.
The inquiry will take place around the end of May, a DfT spokeswoman said.
Mrs Mingay, DfT's commercial and technical services director, has said her role was "inaccurately" portrayed.
We are still awaiting the approval from the DfT so all is still in the air.
We submitted a strong bid, in good faith and in strict accordance with the DfT's terms.
Meanwhile, in a brief statement, the DfT said "no further details would be issued".
BBC: West Coast Main Line: Civil servant Kate Mingay speaks out
The Department for Transport (DfT) has said work on the road was unlikely to start before 2018.
And the DfT told the BBC's Inside Out programme that another 16 councils still have no authorisation.
Instead, the DfT will hold another property consultation "picking up the points" raised by the judge on Friday.
BBC: HS2 ruling 'a victory' despite unlawful compensation move
The bulk of the money will come from the Department for Transport (DfT) in the new financial year.
The current deal runs until 2014 and Mr Brown said the DfT "appear to have suspended all franchising".
The RSPB, RSPCA and local wildlife trusts said they wanted the Department for Transport (DfT) to call for change.
The DfT said a number of countries were investigating such discharges and the residues that wash up on beaches.
Figures from the Department for Transport (DfT) show that last year 107 cyclists were killed on British roads.
The DfT upheld the appeal saying an alternative scheme had to be found.
"We are extremely disappointed to learn this news, and await the outcome of the DfT's inquiries, " the company said.
This was a recipe for failure which the DfT must learn from urgently.
The amount of opposition to the plans has persuaded the DfT to hold a hearing before it rules on the bid.
Shadow transport secretary Maria Eagle said it was not appropriate that the investigation will be carried by a DfT non-executive director.
Three senior civil servants at the DfT, who were suspended after the scrapping of the bid, can now return to work.
However, Richard George, energy campaigner for Greenpeace, thinks the DfT underestimates how steeply the cost of flying could rise in the future.
The DfT said the money would be used to improve traffic flow.
Since the DfT announcement last year, local authorities and business leaders across East Anglia have been discussing ways to help fund the scheme.
It said during talks the DfT "indicated there will be no service enhancements or additional rolling stock for the West of England area".
It is a figure the DfT cannot confirm but the newspaper says that this year's death toll looks set to overtake last year's.
An adapter has been developed that will address the high DFT issue, but this has not yet been submitted for US FDA approval.
Mr Laidlaw, who is a non-executive director of the DfT, is due to give evidence to the House of Commons transport committee next week.
The DfT spokesman said with the lower toll a "relatively small amount" of 8% of vehicles would leave the new bypass to avoid a toll.
The transport secretary then praised the work done by his DfT staff, saying he had a team of "first-class civil servants doing a tough job".
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