No Kansas City player is among the top five at catcher or the infield positions or among the top 15 outfielders.
Fans still have a chance to cast their votes at Kauffman Stadium, though, before the ballot boxes are closed after the game on June 19.
Even after that, fans can continue to cast ballots online.
First baseman Mike Sweeney has been leading the Royals regulars in several categories, including a .298 average, 16 doubles, nine home runs and 37 RBIs through Sunday's game.
Right fielder Emil Brown, the biggest offensive surprise of the season, had 31 RBIs with seven homers after hitting .336 (40-for-119) with four homers and 25 RBIs in his last 31 games.
Center fielder David DeJesus reached base safely in 35 of his last 77 plate appearances for a .455 on-base percentage in 18 games. Since dropping into the No. 2 spot in the batting order, he has batted .312.
Left fielder Terrence Long, with a seven-game .565 spurt, had a .350 mark (28-for-80) in his last 22 games.
Shortstop Angel Berroa not only has been fielding well, making just three errors since May 1, but was hitting .266 (33-for-124) with 20 runs since being put into the leadoff spot.
The Royals have not had a player voted into the AL starting lineup since outfielder Jermaine Dye in 2000. Sweeney was selected to the American League team from 2000-03. Pitcher Mike MacDougal (2003) and first baseman Ken Harvey (2004) also were recent All-Stars.
Dick Kaegel is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.