ALBUQUERQUE, N.M.—Bob Baffert believes Peppers Pride will quiet the skeptics.

With one more victory in a 6-furlong allowance race Saturday at Zia Park in Hobbs, N.M., the 5-year-old thoroughbred mare would improve to 17 victories in 17 starts, a modern North American record.

“Hey, she’s earned it,” Baffert said Thursday. “A win’s a win.”

Peppers Pride is poised to break the mark of 16 straight victories that she shares with Triple Crown winner Citation, two-time horse of the year Cigar, Mister Frisky and Hallowed Dreams.

Some have compared Pepper...

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