When they meet with British officials on Thursday, representatives of Facebook and Twitter are expected to push back against suggestions that the sites be shuttered during riots or protests, according to a report in The Guardian newspaper.
British Prime Minister David Cameron at one point called for suspected rioters to be banned from social media websites, but no actual action took place.
Representatives of the companies are scheduled to meet with Home Secretary Theresa May at a summit on Thursday.
While Facebook and Twitter resist government imposed blackouts, it appears the websites may not be entirely opposed to some self-censorship.
According to The Guardian, the summit will focus on how companies can help contain disorder, and a Facebook spokeswoman told the newspaper that it has "ensured any credible threats of violence are removed from Facebook ."
Recent riots in Britain were partly blamed on social media websites, which allowed protesters to organize more effectively.