United Parcel Service Inc. is in talks to buy Coyote Logistics LLC, a provider of transportation and shipping services, according to people familiar with the matter.

While no deal has been reached, UPS could pay $1.8 billion or more for the company, according to one of the people familiar with the talks. It isn't certain that the talks will result in a deal, the people said.

If UPS does acquire Coyote Logistics, it would follow FedEx Corp.'s $1.4 billion acquisition of third-party logistics provider GENCO Distribution System Inc. earlier this year.

Bloomberg first reported news of the talks earlier Wednesday.

It would also mean Coyote Logistics is abandoning an initial public offering, which Wall Street Journal reported the company was planning in March. It would be the latest private-equity backed company to do so, and underscores the continuing appetite from buyers for acquisitions to make them bigger and more efficient.

Private equity-backed companies have raised just $8.8 billion in U.S. IPOs, roughly 40% of the $22.6 billion that they had raised by this time last year, according to data provider Dealogic.

Private-equity firms often prefer to sell companies outright instead of pursuing IPOs as they are able to fully exit from their investment rather than selling stock over time.

Coyote is "one of the fastest-growing [third-party logistics providers] in the country," said Evan Armstrong, president of the research firm Armstrong & Associates.

U.S. domestic freight brokers, or third-party logistics companies, grew 20% overall last year, and the business is expected to reach nearly $200 billion in overall sales by 2018, according to the firm.

"Shippers are looking for capacity and they are hiring these guys," Mr. Armstrong said. "Trucking capacity has been hard to find and if you don't have $300 million in annual transportation spending you're not going to be able to garner the rates these guys can."

UPS is scheduled to report second-quarter earnings on Tuesday.

Paul Page contributed to this article

Write to Gillian Tan at gillian.tan@wsj.com and Laura Stevens at laura.stevens@wsj.com

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