There are calls for a referendum to be held to decide the future of devolution.
The Yorkshire Party want voters to be balloted on whether they back a region-wide deal.
It's after a similar poll was held in Barnsley and Doncaster last year.
Party Leader Stewart Arnold has written to Hull and East Riding Councils to consider it:
"The discussion up to now has very much been between council leaders and government ministers behind closed doors and the people in general haven't got involved; so I think it allows Yorkshire people to be engaged in the process.
"If, as in Barnsley and Doncaster, 8 out of 10 people in the county were behind the One Yorkshire deal then that gives them a huge clout in those negotiations.
"Something's got to happen because we've been talking about this now for some years with no solution and that's really why, I think, if we can get our local councils to ballot people across the region, I think it would really send the government the message that the people want a One Yorkshire deal so let's get on and do it."