Jason Giambi and Gary Sheffield, who testified in the BALCO grand jury hearings, were not among those tested by members of baseball's drug testing program Thursday at the team's spring training complex in Tampa, Fla., the newspaper reported.
The San Francisco Chronicle reported in December that Giambi admitted before the grand jury that he had used steroids.
In addition to Jeter and Matsui, second baseman Tony Womack, outfielder Bubba Crosby and relievers Paul Quantrill, Bret Prinz and Jason Anderson were also required to provide urine samples. Pitcher Mike Mussina was also on the list of selected players, but had been given the day off by manager Joe Torre.
"It's not a comfortable feeling, but what can you do?" Jeter told the newspaper.
According to the new drug testing agreement between the players and owners, players can be tested at any time during the season and can be tested more than once.