A company spokesman says the two sides haven't worked out a deal.
The Akron-based company's contract with the United Steelworkers of America expired April 19th but has been extended. It covers 16,000 employees at 14 plants in Wisconsin and ten other states.
Goodyear spokesman Chuck Sinclair says both sides made progress over the weekend, when the union submitted a counter-proposal to Goodyear's latest offer.
The union rejected the offer last week, saying it didn't provide adequate health care benefits for workers and retirees.
Sinclair wouldn't reveal further details.
Both sides say they want to reach an agreement soon.