Virgin Trains has delayed the introduction of new uniforms after some female staff said blouses were see through and too low cut.
The rail operator is now offering £20 vouchers for women employees to buy undergarments to save them any embarrassment.
A union chief said staff had complained the red blouses were too flimsy and would allow male passengers to see dark bras being worn underneath.
"Our female members are upset because they feel Sir Richard Branson is cutting corners by asking them to wear flimsy blouses which are skimpy and they feel too revealing," said Manuel Cortes of the Transport Salaried Staffs Association.
"He has asked Vivienne Westwood to design the new uniform for his air crews. Unfortunately, by contrast, it looks like he is getting the blouses for train crews from Del Boy at Trotters Independent Traders Ltd at Peckham Market."
The problem came to light after trials of a new uniform for staff on Virgin's West Coast Main Line.
The founder of Virgin Atlantic, Sir Richard Branson has told the Independent that terror warnings issued by the Foreign Office to tourists are "doing more harm than good".
The British entrepreneur said that warning of the risk of a terrorist attack was "exactly what the terrorists wanted" because it reduced tourist numbers.
In a statement the FCO said "We have a responsibility to make sure British nationals have the necessary information and advice so that they can make their own choices. We would rightly be criticised if UK lives were lost and we had not reflected a known terrorist threat in our travel advice."
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Sir Richard Branson said the alliance between Virgin Atlantic and Delta Air Lines was "exciting" after a deal was struck between the two companies.
Virgin Atlantic President, Sir Richard said: "This is an exciting day in Virgin Atlantic history. It signals the start of a new era of expansion, financial growth and many opportunities for our customers and our business.
"I truly look forward to the possibilities our partnership with Delta will offer. We have always been known for our innovation and service and have punched above our weight for 28 years.
"That is why our customers love us so much. We will retain that independent spirit but move forward in a strengthened partnership with Delta.”
The immediate future of a main London to Scotland rail route - thrown into doubt following a botched franchise process - should become clearer today.
The Government is expected to announce that Sir Richard Branson's train company, Virgin Rail, can for a time carry on running trains on the West Coast Main Line.
It is believed Transport Secretary Patrick McLoughlin could also publish the independent report he commissioned when he was forced to scrap the West Coast franchise bidding process.
Scotland's Transport Minister Keith Brown said it was a welcome announcement for both passengers and the air industry.
He said: "We look forward to a long and productive relationship with Virgin Atlantic and the exciting connections they can offer with all the benefits that will bring for passengers, Scotland's aviation industry and the wider Scottish economy.
"The detail will be worked out over the next couple of weeks but we are pleased that the European Commission has taken note of the need for both Edinburgh and Aberdeen to be served and that Virgin Atlantic will now be able to operate from two of Scotland's most important cities."
The minister said he remained concerned about the lack of competition on the Glasgow to Heathrow service as a consequence of Bmi's withdrawal of the service last year.
Glasgow was not part of the remedies package considered by the European Commission.
We're focused on providing Scotland with choice both in terms of routes and carriers whilst extending its reach across the world.
This new regular service does exactly that, giving choice to Heathrow and opening up a new set of onward destinations for our passengers.
We look forward to working with Steve Ridgway and his team over the coming months.
We have fought hard for the right to fly short haul and take a strong challenge to BA within these shores.
For 28 years both airlines have battled for customers all over the world and it has meant that British consumers have ultimately had some of the world's best flying and lowest fares.
- Virgin plans to begin services on March 31 2013 and will primarily focus on multiple daily flights between Heathrow and Edinburgh and Aberdeen.
- The new routes, on which Virgin will compete with long-time rival British Airways, will complement the new Heathrow-Manchester route the airline is also introducing next year.
Sir Richard Branson's airline Virgin Atlantic is poised to begin new domestic services from Heathrow Airport starting from March 2013.
Virgin said today it had been offered short-haul take-off and landing slots available following the takeover of bmi by British Airways's parent company IAG.