NEW YORK — Edgewell Personal Care Co, the owner of Schick and Wilkinson razor brands, plans to make an offer to buy US-based shaving start-up Harry's for $1.37 billion in a cash-and-stock deal, the New York Times reported on Thursday.

Harry's, founded by Andy Katz-Mayfield and Jeff Raider, is one of the many shaving start-ups vying for market share in the growing male grooming products arena. The market is currently dominated by Procter & Gamble Co's Gillette and Unilever Plc.

The start-up sells razors, shaving creams, lotions, soaps and other grooming products embossed with their quirky hairy elephant logo.

Founders Katz-Mayfield and Raider will run Edgewell's operations in the United States if the deal goes through, according to the newspaper report.

Edgewell Chief Executive Rod Little, who was appointed in March, will continue to head the combined business, NYT reported.

The Edgewell acquisition would be the second billion-dollar acquisition of a shaving start-up, dwarfing Unilever's buy of the US-based Dollar Shave Club in 2016.

Edgewell and Harry's did not immediately respond to a Reuters request for comment.

By Syed Saif Hussain Naqvi; editor: Shounak Dasgupta.