They really must, Corbyn who I very much doubt understands the letter he signed to the Prime Minster, has actually come quite a long way towards a deal. Of the 5 points he rises, May already agrees on around 3 of them and the only real sticking point is on membership of the customs union and single market.
Of course, by staying in those we are not really leaving the EU, but are in spirit - but as we all now know, the UK did that a long time ago - the last couple of years are the messy, legalistic end of the divorce, not the flame out of romance in the relationship.
However, there are top reasons for a May-Corbyn deal. After all, the Maybot's plans is over, her utterly disastrous negotiation strategy has moved the UK close to a very economic challenging hard Brexit. For this, she needs to go. Corbyn too has been useless as of course he is too thick to understand anything complex and would rather be on a march singing a song about world hunger or bee population decline.
But a May-Corbyn deal to avoid hard Brexit would of course be toxic for both. May for betraying her already ungrateful party and Corbyn because his loony cult followers never tire of saying no deal must ever be done with evil Tories - let alone a deal which sees their precious remain dream end.
So would a deal have a very good upside, the end of the useless leadership of both May and Corbyn and also a sub-optimal EU exit - but one will limited short-term economic downside and an Exit at least?