The Offshore Alliance union said it had called off strikes originally planned for Thursday at the U.S. energy major's Gorgon and Wheatstone projects in Western Australia, which supply around 6% of the world's LNG.
Australia is among the world's biggest LNG exporters and its main buyers are in Asia. Traders anticipated any cuts to supplies due to strikes would send Asian buyers competing with Europeans for cargo, spurring spot price volatility in the European gas market.
The breakthrough followed days of talks mediated by Australia's industrial arbitrator, the Fair Work Commission, to try and revive an in-principle deal reached in September that ended weeks of strikes. That fell apart earlier this month after unions said Chevron had reneged on commitments.
Workers have showed "incredible patience" with Chevron, Offshore Alliance spokesperson Brad Gandy said in a statement, blaming the company for trying to back away from the tentative deal agreed last month.
"We hope this can now be put to rest but if Chevron tries to alter the deal again our members will obviously have no choice but to consider taking protected industrial action," Gandy said.
Chevron has previously said only a small number of issues stood in the way of an agreement, including reimbursement for meals and travel.
The Offshore Alliance, a coalition of the Australian Workers' Union and the Maritime Union of Australia, said workers would vote on the proposed enterprise agreements.
The ongoing disputes had roiled global gas markets for several weeks and sent LNG prices up as much as 35% in August.
On Tuesday, Dutch and British wholesale gas prices dropped further after losses on Monday, driven by healthy flows of natural gas from Norway, while supply concerns over geopolitical tensions also eased.