Brexit minister David Davis has insisted the approach to the European Union divorce has not changed, but May has recognised that a broader consensus needs to be built for Brexit and has made clear she would listen to all wings of the party on the issue.
Guy Verhofstadt has said that if Britain shifts its position on Brexit it will be confronted with a "new Europe".
But the Government will press ahead with the first round of Brexit talks two days before the official opening of Parliament.
The British government will step up the level of financial support it provides to everything from small start-ups to major infrastructure projects in a bid to help the economy as the country leaves the European Union.
May has not yet responded to a proposal from some Conservatives for business groups and lawmakers from all parties to agree a national position on Brexit.
"Investors need certainty in order to continue to support the United Kingdom economy and create jobs as we leave the EU", Hammond will say.
Mr Gove told BBC Radio 4's Today programme the Tory failure to win a majority meant Brexit must proceed with the "maximum possible consensus".
Prime Minister May has come under pressure to seek a soft Brexit after losing her parliamentary majority last week.
Britain and the European Union now have less than two years to conclude exit negotiations before the UK's departure date at the end of March 2019.
Liberal Democrat leader Tim Farron called for a cross-party committee to be set up to handle the Brexit negotiations.
Former British Prime Minister John Major said he was concerned May's plan to govern with the support of the DUP could pitch the province back into turmoil by persuading "hard men" on both sides of the divide to return to violence.
"The only thing I know is that there is an Article 50 request and we have been preparing ourselves for a long time to start negotiations on that basis".