He has faced fierce criticism for comparing women wearing the conservative Islamic dress to letter boxes and bank robbers.
"I think that this wasn't an off-the-cuff slip, he wrote a column, he knew exactly what he was doing and I think it crossed from being provocative and starting a debate and actually it became rude and gratuitous", the Scots Tory leader said.
James O'Brien believes Boris Johnson's comments on the burka are unsafe because they mean he is doing the work of the Islamic terrorists.
A number of complaints had been received and would be considered by an independent panel, the source added.
A spokesman said: "The code of conduct process is strictly confidential". She said she welcomed an investigation, "but let's not pretend this is an isolated incident". The clothing has already been banned in France.
"Is Islamophobia, in fact a "natural reaction" or is it one of the by-products of a white, male-dominated Government, which continues to spew racist and sexist rhetoric, diminishing the status of Muslim women as British people?" "People do not want a vision of our country thrust down their throat either by me, by Boris or by anybody else".
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So will he say sorry?
"We must not fall into the trap of shutting down the debate on hard issues", a source close to Johnson told reporters. "It is ridiculous that these views are being attacked".
"The women who wear the niqab and report into us clearly report to us they are called telephone boxes, letter boxes, bin bags, when they are abused and when they are assaulted".
Johnson has so far refused requests to apologise for the comments.
According to the BBC, Johnson's supporters defended his remarks, saying that he was simply sticking up for "liberal values".
There is a growing sense that "a confrontation is being forced between those in the party who think the way Johnson described women who wear a niqab was out of order and those who think it was fair comment", says The Times.