Mr Johnson has been in talks with USA president Donald Trump for the third time in three weeks amid plans to withdraw from the EU, Downing Street officials said on Monday.
Mr Hammond's comments come as Downing Street said it expects a group of MPs to try to block a no-deal Brexit by attempting to pass legislation when Parliament returns next month.
The document by the People's Vote campaign, signed by Tory rebel Dominic Grieve and Labour MP Margaret Beckett, calls for MPs to defeat the government in a no-confidence vote.
Mr Johnson has told United Kingdom civil servants that "preparing urgently and rapidly for the possibility of an exit without a deal" will be his top priority - although he still insists that he would prefer to leave with a deal.
The report found it will be hard for MPs to repeat the process which led to the passing of the "Cooper Act" earlier this year.
On a visit to HMP Leeds - a category B local prison in Armley which was one of the country's most overcrowded when it was inspected two years ago - Mr Johnson said his Government was "putting money into every aspect of the criminal justice system".
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".
With less than 12 weeks until Britain's scheduled exit from the bloc, the USA national security advisor John Bolton has issued a stern warning to Brussels by stating the U.S. would "enthusiastically" support a no deal Brexit.
A ComRes opinion poll showed 54% of respondents with an opinion on the matter said they agreed with the statement: "Boris (Johnson) needs to deliver Brexit by any means, including suspending parliament if necessary, in order to prevent MPs (Members of Parliament) from stopping it".
"Our sense is that the combination of a tougher line and no specific solutions espoused by Boris Johnson in the race to become Prime Minister was the key driver of the drop in Irish consumer sentiment in July".
Mr. Bolton told British Prime Minister Boris Johnson that President Trump wants to see a successful British exit from the European Union on 31 October, and that Washington will be ready to work fast on a US-UK free trade agreement.
On Tuesday, at the Court of Session in Edinburgh, Judge Raymond Doherty said a substantive hearing should take place September 6.
Some MPs are working to prevent Johnson from calling a general election before October 31 to force through a no-deal Brexit, according to a strategy memo seen by Bloomberg and reported by the Times newspaper.