Tusk also warns that a "no-deal scenario" remains "quite possible", but finishes his letter by saying: "If we all act responsibly, we can avoid a catastrophe".
Mr Johnson has always been critical of Mrs May's Chequers plan, resigning in July alongside then-Brexit Secretary David Davis.
The EU's backstop proposal has been rejected by the UK because it effectively creates a customs border in the Irish sea, while the UK's plan was rejected by the UK because it was temporary and applied to the whole of the UK, rather than only Northern Ireland.
Mr Johnson has backed proposals by the pro-Brexit European Research Group that physical checks can be done away from the border, without keeping the United Kingdom or Northern Ireland tied to EU customs rules.
"I think Parliament will vote for a deal because I think people will see the importance of a deal that maintains a good trading relationship with the European Union but also maintains good cooperation in other areas, but gives us the freedom to take the benefits and opportunities of Brexit", she said in an interview broadcast Monday. As part of the EU, Britain now enjoys the freedom of goods, services, money and people to move across borders with 27 other countries in the region.
Brussels' current proposal is to effectively keep Northern Ireland in the EU customs union until a comprehensive trade deal with the United Kingdom is agreed, something that the DUP and political parties in Scotland have rejected. They don't want a hard border between Northern Ireland and Ireland.
Former Liberal Democrat leader Sir Nick Clegg told BBC Radio 4's Today programme it was an "insult to the intelligence of British voters" for the prime minister to say it was a "choice between either the Chequers fudge or a cataclysmic cliff edge".
Khan said Britain was now facing either a bad deal or a no-deal Brexit, both of which were "incredibly risky".
He's meeting with the Spanish Prime Minister Pedro Sánchez and the Spanish Foreign Minister Josep Borrell. "What we will be doing is putting forward a set of rules for people from the European Union and people from outside the European Union", she said.
The People's Vote campaign, meanwhile, claimed a "fresh wave" of 18-year-olds becoming eligible to vote was "transforming the dynamics of the Brexit debate" because they mostly back staying in the EU.
May will travel to a crucial summit in Salzburg this week to sell her plan to the EU27 leaders.
The news comes after Michael Gove, the Environment Secretary, said over the weekend that an independent United Kingdom and its elected future leader could "choose to alter" the nation's relationship with the Brussels bloc after Brexit.
May's comments on the issue this week mark the six-month countdown to Britain's formal exit from the European Union on 29 March, 2019.
BBC Panorama, Inside No 10: Deal or No Deal? is on Monday 17 September at 20:30 BST on BBC One as part of a week of in-depth coverage across the BBC to mark Brexit: Six Months to Go.
It's legal to smoke dagga at home
Activists clutching banners reading "Weed are free now" and Rastafari flags gathered outside the court in central Johannesburg . The court also ordered parliament to draft new laws within 24 months to reflect the order.
Wilmington cut off from North Carolina by Florence flooding
The mother managed to free Kaiden from his vehicle seat and escape the auto , but her child was quickly swept away in the deluge. North Carolina authorities released a full list of deaths on Monday afternoon, bringing the death toll for the state up to 24.
Adam Schiff of California, the top Democrat on the House Permanent Select Committee on Intelligence, said in a statement Monday. Strzok was also recently fired, and has been criticised for sending texts disparaging Trump as a presidential candidate.
China is one of Apple's largest markets, and the tech giant said increasing tariffs on Chinese goods could harm its business. Gold traded 0.28 percent higher at $1,196.26 an ounce XAU= , some way from last week's top at $1,212.65.
An honest-to-goodness whoop rippled through the star-studded audience the second he finished the sentence. Because I want to call you my wife", he declared to his bewildered and ecstatic partner Jan Svendsen.
The American, who entered the competition as a qualifier, becomes the youngest player to reach a WTA final since 2013. Up next for the Briton is Pauline Parmentier, who beat American Varvara Lepchenko 7-6 (7/5) 6-1.
Finally, the AirPower is having significant "mechanical and interference issues", according to the sources. The latest rumors on the fate of AirPower cite the incredible complexity of the charging coil design.
She also had partial-Kree physiology - the Kree being an advanced alien race within the Marvel Comics universe. Then there's Jude Law as Danvers' intergalactic mentor Mar-Vell, commander of Starforce .
According to CNN , the co-host is planning on announcing the news via videotaped message on Tuesday's episode. But it was widely viewed as a result of the harassment and assault allegations detailed in Farrow's stories.
The Union Leader noted, "The machine in question was a BarBerCut Lite, produced by BANDAI NAMCO Amusement America, Inc". Red Robin hostess Hannah Forese witnessed the theft and told secutiry at the mall.
Trump didn't otherwise elaborate on the announcement, which he described after complaining about the USA trade deficit with China. Chinese officials have suggested that planned talks between trade delegations from both countries will now not go ahead.
Hundreds rescued as flooding continues after Storm Florence
What's left of Florence is dragging itself north, dumping heavy rain Monday as it moves into the southern Appalachian Mountains. More than half a million customers in the Carolinas were still without electricity on Monday, according to emergency officials.
Patriots on the verge of Josh Gordon eye-opener
Belichick has a long history of reclamation projects with castoffs, including Randy Moss , Chad Johnson and Aqib Talib . New England desperately needs wide receiving help. "I am not making - I hate to make projections and expectations.
Trump and son come to defence of Brett Kavanaugh
Kavanaugh and Ford will both speak in a testimony before the Senate Judiciary Committee next Monday on Capitol Hill. Kavanaugh said in his statement he "had no idea who was making this accusation until she identified herself".
USA spares Apple and Fitbit from new China tariffs
The Bloomberg report quoted White House economic adviser Larry Kudlow speaking to the Economic Club of NY earlier today. Those included high-profile consumer products, such as smart watches, bicycle helmets, play pens and baby auto seats.