Anti Brexit demonstrators outside the Houses of Parliament in London.
However the default position remans if a deal can not be reached with Brussels, Britain will exit the bloc without an agreement on Halloween.
If lawmakers approve a vote of no confidence, they would have two weeks to organize a new election.
Lawmakers are expected to try to block a no-deal departure this fall.More news: Sajid Javid maintains economy 'strong' despite seven year slump
"Boris's support has been boosted by him outperforming expectations, including among a third of Labour and Lib Dem voters".
The IFG report said: "It is now of no use to MPs who want to express their view on no deal; if Mr Johnson is set on no-deal he will not need to schedule any further meaningful votes".
"It's great progress to have a full hearing in September before the Prime Minister can consider closing down parliament to force through a no deal Brexit".
Boris Johnson warned of biggest impediment to locking down no deal' [ANALYSIS] EU make peasants vote again!' Trump adviser sends panic through bloc [VIDEO] Royal intervention: Should the Queen get involved in Brexit?
Mr Bolton is the most senior member of the USA administration to visit the United Kingdom since Mr Johnson took over at Number 10.More news: Liam Hemsworth finally breaks his silence over split with Miley Cyrus
The case had its first court outing on Tuesday at which the Court of Session decided that a substantive hearing would take place on September 6, said lawyer Jo Maugham from the Good Law Project which is supporting the challenge.
However, Johnson, who replaced Theresa May on July 24 after she failed three times to get her withdrawal agreement through parliament, has refused to rule out proroguing the House of Commons and Brexit supporters have vociferously encouraged him to do so if necessary to ensure an exit on October 31.
The legal bid, backed by more than 70 MPs and peers, is seeking to get the Court of Session in Edinburgh to rule that suspending parliament to make the United Kingdom leave the European Union without a deal is "unlawful and unconstitutional".More news: He's back Andy Murray returns to singles play with healing hip