The appointment of Sir Martin Moore-Bick is likely to be confirmed in a government statement.
Helen Pearson was stabbed in the neck and face after reporting her stalker to police 125 times.
Three people have been arrested over the circumcision, including one for grievous bodily harm.
MPs will vote on the government's legislative programme in an early test of Theresa May's authority.
The National Crime Agency says it is increasingly concerned, in the agency's annual assessment.