Two current and two former employees seek a total of $9.5 million in damages one month after the company agreed to a record settlement for similar allegations.
After months of strife, longshoreman and port terminal operators have agreed on a contract.
The group's leaders said their goal is to raise $15,000 using the crowdfunding site Indiegogo.
The port has been criticized for how it has addressed airport workers' unrest while conflicts with labor continues to hurt the shipping terminal.
German shipping line will be port's largest customer when Hanjin stops coming to Portland in March.