An article in Politico (brought to my attention, as most such things are, by Capitol Fax) suggests that various rank & file groups of legislators are making progress in coming up with longer-term fixes to the Illinois budget crisis. These plans apparently include real concessions from both sides, movement on worker's compensation on the one hand and on tax increases on the other.
A Chicago Tribune article from today gives a take more or less in synch with the Politico article, albeit focusing on the governor's role--or rather lack of one--in ongoing negotiations.
The "stop-gap bill" for Higher Education came about like this--not through some deal struck by Madigan and Rauner, who appear incapable of making a deal, but through members of the GA presenting Madigan and Rauner with a deal they couldn't refuse (though Madigan briefly delayed it). The stakes are larger here--a real budget for this year and the next--but the Springfield consensus seems to be that there's a decent chance of this happening by the end of May. Starting June 1, a 3/5 majority is required to pass anything.