The competition in the Devil Rays' clubhouse for that spot is going to be close.
Asked about candidates from his team, manager Lou Piniella listed catcher Toby Hall, outfielder Carl Crawford and infielder Jorge Cantu.
"Toby's been very consistent, Cantu is really hitting the ball and C.C. is coming on," said Piniella. "But Toby, from the start of the season to now, he's been very consistent. He's been hitting around .300 all year, and he's done a real nice job with our pitchers."
Crawford leads the team in RBIs, and Cantu is the team's home run leader with nine.
Fans can vote online or at Tropicana Field until June 26.
Bill Chastain is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.