Behind the Wheel with Phil Lebeau

One month after rejecting contract, union asks for another chance

Boeing 787 Dreamliner
Source: Boeing Co.

Machinists in the state of Washington hope that a new contract offer to Boeing will lead the company to decide to build the new 777X plane in the Seattle area.

The union made the proposal on Wednesday night after two days of talks between the Machinists and Boeing executives.

(Read more: Air Canada buying $6.5 billion in Boeing planes)

In announcing the latest move on the web site for the International Association of Machinists, Local 751 President Tom Wrobleski said, "We tried to craft a proposal that would meet the needs of our members, while also ensuring the long-term success of the Boeing Company in Washington State.

Neither the Union nor Boeing have released any details of the offer.

Boeing solicits bid for new 777 production site
VIDEO2:4602:46
Boeing solicits bid for new 777 production site

777X Sweepstakes Heating Up

The Machinists' offer comes one day after bids were due from states looking to attract the final assembly plant for the 777X.

More than a dozen states, including Washington, were expected to formally pitch Boeing.

Many have passed tax incentive packages and are publicly lobbying Boeing to bring the plant and an estimated 2,000-4,000 jobs to their state.

(Read more: Boeing 777 to be built where it makes 'most sense')

The prospect of Washington State losing the next major plane from Boeing likely prompted Machinists leaders to approach Boeing with a new contract offer given the job security it would bring for the next 20 years

Just four weeks ago, two-thirds of the Machinists rejected a contract extension from Boeing, with many calling the offer inadequate.

—By CNBC's Phil LeBeau. Follow him on Twitter @LeBeauCarNews.

Questions? Comments? BehindTheWheel@cnbc.com.