Mr Johnson has said he will give MPs until November 6 to debate his European Union exit Bill - possibly providing enough time to pass it - but only if they agree to grant an election on December 12.
Ms Dodds said the Lib Dems need to see the detail before they agree to the United Kingdom government plan.
Labour looks unlikely to back the Bill with leader Jeremy Corbyn saying, according to the Telegraph, that even with the Article 50 deadline pushed into next year, no-deal was "still there as a threat".
The UK will not leave the European Union on Thursday after the economic bloc on Monday agreed to offer Britain a three-month extension to the Brexit deadline, until January 31 next year.
Had the vote passed, a general election would have been called for 12 December. "And its time for the voters to have a chance to pronounce on that deal and to replace this dysfunctional parliament with a new parliament that can get Brexit done so the country can move on". However, it does not remove the risk of a no-deal Brexit in case he fails to pass the deal.
He says, "It's time to give the British public the final say on Brexit".
Sources close to Corbyn say they do want an election but that they have argued against another national vote because they do not trust Johnson to avoid a no-deal Brexit.
Smaller opposition parties, such as the Liberal Democrats and the Scottish National Party (SNP), have signaled their intention to support a general election, though not necessarily the government's proposal.
The bill would only require Mr Johnson to secure a simple majority in the House of Commons - and not the two-thirds support he needed under the Fixed-term Parliaments Act on Monday. The Liberal Democrats said they would table a motion for a general election on December 9.
France was initially reluctant to extend the Brexit deadline beyond its scheduled date of October 31, but Montchalin said the perspective of a new general election in Britain justifies a new delay.
His initial proposal was defeated late Monday in the 650-seat House of Commons, as he failed to muster the required two-thirds majority.
The EU, forged from the ruins of World War Two as a way to prevent another devastating conflict in Europe, is tired by Britain's Brexit crisis but keen not to be held responsible for an economically tumultuous "no-deal" Brexit.
Shortly after the decision, Guy Verhofstadt, the European Parliament's Brexit co-ordinator, appeared to troll Mr Johnson by tweeting: "Relieved that finally no one died in a ditch".
"The Lib Dems & SNP may have given up on a People's Vote".
The Conservative leader immediately announced an alternative plan to hold a snap poll that could yet see an election in early December.
Meanwhile, reports have suggested Mr Johnson could keep tabling election motions until he gets one - and he has not ruled out a poll during Christmas week.
Although his Conservatives are now well ahead of Labour in the polls - for many observers all bets are off when it comes to predicting the outcome.
"I strongly believe that the way this scenario is panning out is actually strengthening Boris Johnson's position to an incredible extent", he said. "This extra time must deliver a way forward".
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