Union leaders and company representatives have been in Cincinnati, Ohio for several months trying to reach an agreement.
Goodyear gave united steelworkers union its final offer Sunday.
Union members say they still have some problems with that deal. The biggest sticking point is job security.
Goodyear says it wants to close the Huntsville, Alabama plant and take operations overseas.
Union leaders do not plan on taking any action Monday, but we'll keep you updated on this story.