But a Sky News poll found that 45% of voters thought he should apologise, while 48% thought he should not.
Other than Armeena Khan, the former United Kingdom mayor had received responses from many other personalities including former Attorney General Dominic Grieve, Theresa May, Brandon Lewis and Ruth Davidson.
"Any clothing a woman is forced to wear which hides both her beauty and her bruises should be banned and have no place in our liberal, progressive country", she said.
As the row raged, the former Attorney General Dominic Grieve said: "If he were to become leader of the party, I for one wouldn't be in it".
But he added: "I wish he hadn't accompanied it with a comment that I certainly wouldn't make and I think many people would find offensive, yes".
PGA course a bomber's paradise: Tiger
Golfers who hit it straight and long will have an advantage, so the bombers off of the tee are another primary focus of mine. It was just a reality that his status as one of the greatest golfers ensured a hoopla of distractions wherever he went.
And Munira Mirza, a former deputy mayor of London, said: "There is a political fight here".
Scottish Tory leader Ruth Davidson today became the latest to publicly demand Mr Johnson say sorry for the "gratuitously offensive" comments. That step would mean he could not represent the party, and would be barred from standing in a future leadership contest.
Sahar al-Faifi, who has covered her face since she was 14, said that negative rhetoric is making Muslim women feel "unsafe".
Penning an article for the establishment centre-right Telegraph newspaper under a pseudonym, for fear of "how my friends and relatives would react", "Suad Farah" described how she lost her niqab-wearing best friend "to mosque classes and to sister circles and to fundamentalist YouTube videos" after the death of her father. If a woman wants to wear a burqa it is her right to do so.
Johnson said he opposed banning burqas and other face-covering garments, but wrote that it was "absolutely ridiculous that people should choose to go around looking like letter boxes".