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The truck drivers are targeting four companies for now, but may expand the strike, according to Teamsters spokeswoman Barb Maynard.
Nebraska Sen. Deb Fischer says labor impasse sent "ripples through the U.S. economy."
Schnitzer Steel and Bed Bath & Beyond say the labor slowdown and resulting port congestion hurt business.
Such an alliance could have a "competitive edge," according to industry consultant Drewry.
The truckload freight and logistics provider had net profits of $21.8 million in first quarter 2015.
The third-party logistics provider had revenues of $1.78 billion in first quarter 2015.