HMM Co., the biggest container-shipping line in South Korea, will continue deploying more vessels than usual to try to meet demand from the country’s exporters struggling to transport goods overseas.

With negotiations expected to begin soon between the 22,000-member International Longshore and Warehouse Union and the Pacific Maritime Association, ILWU leaders are expressing confidence that the two sides will reach an agreement — without an interruption in work — before the June 30 deadline for the current contract expiration.