Cordero came off the 15-day disabled list on Saturday after missing 12 games because of shoulder tendinitis. The right-hander has no record and no save opportunities in four games this season.
"He's not in any pain," Nationals general manager Jim Bowden said before his team's game against the Atlanta Braves. "He just feels a click. A click can be normal. A lot of pitchers have it, but he's never had it."
Bowden added that Cordero felt the click when he returned to the team hotel on Monday night. Cordero pitched the eighth inning of Washington's 7-3 loss to the Braves, striking out one and walking one.
Jon Rauch has the Nationals' only three saves this year, but he has a 5.87 ERA in eight games, a span of 7 1/3 innings.
A first-round draft pick for Montreal in 2003, Cordero has spent his entire career with the Expos-Nationals organization, going 20-14 with 128 saves and a 2.76 ERA.
Cordero needs 25 saves to pass Jeff Reardon as the career franchise leader.
Bowden also said than first baseman Dmitri Young, who's on the DL with a strained back, was examined Tuesday in Miami to get a second opinion.