The information came from unnamed lawyers who spoke to the newspaper Wednesday.
The 2003 survey contained a condition that the results would remain anonymous.
Ramirez and Ortiz were teammates with the Boston Red Sox when the tests were done the year Boston ended an 86-year streak in which it had not won a World Series.
Other players previously linked to the 2003 list, based on leaks, were Barry Bonds, Jason Grimsley, Alex Rodriguez, David Segui and Sammy Sosa, with 97 names remaining still undisclosed.
"I'm not talking about that anymore," Ortiz told the newspaper's Web site. "I have no comment."
Ramirez served a 50-game suspension earlier this season for a subsequent positive test under baseball's drug policy.