There have been productive meetings between Republican and Democratic transportation leaders, Inslee said, though he acknowledged that a deal might not come together within the week timeframe he had asked for when he first called a special session.
He said another meeting on the transportation plan is set for Saturday, the same day the House and Senate are expected to vote on a package of aerospace incentives.
"I'm very encouraged at the rate of progress of these discussions," the Democratic governor said. "When that may be fulfilled, we don't know the answer to that yet, but I do believe it's important we remain focused."
Senate leaders, however, expressed skepticism over how Inslee was approaching the $10 billion transportation revenue package. Senate Republican Leader Mark Schoesler said he believes Inslee is just trying to apply pressure to expedite the measures, but "we've taken the position that the most important thing is to get it right and get it right for the entire state of Washington."
"To put that on an artificial timeline doesn't get it right for the entire state," Schoesler said.
Senate Majority Leader Rodney Tom, a Democrat from Medina who leads the predominantly Republican Majority Coalition Caucus, also said that the transportation package was never tied to the overall aerospace package.
Earlier Friday, the House Finance Committee approved a measure that would extend tax breaks for Boeing Co. if key manufacturing work on its new 777X remains in Washington state. The extended tax breaks are valued at about $9 billion, according to state estimates.
Inslee has pushed that package along with other measures as part of a set of policies to keep Chicago-based Boeing as a major part of Washington's economy.
While lawmakers were moving ahead with efforts to satisfy the aerospace company, its proposed contract with the Machinists union appeared to be falling apart. The Seattle Times reported that a union meeting Thursday night was dominated by discussion opposing the contract and that District 751 President Tom Wroblewski ripped a copy of the proposal, vowing to try and have it withdrawn.
Asked about the union's backlash, Inslee encouraged the machinists to consider the broader benefit of having decades of job security and economic activity with Boeing's promise of keeping the 777X in the Puget Sound.
"People all around the world are envious and want to poach these jobs from the state of Washington," Inslee said. "There are 49 governors that would be calling Boeing if in fact this deal does not go through this week."