Garciaparra, a six-time All-Star, jumped from fourth in voting at first base to third, trailing only St. Louis' Albert Pujols and Milwaukee's Prince Fielder.
Russell Martin, who wasn't even on the All-Star ballot last year, rose from fourth in the online voting at catcher to third, behind former Dodger Paul Lo Duca and Atlanta's Brian McCann.
Jeff Kent, fifth in online voting at second base last week, climbed to fourth behind Philadelphia's Chase Utley, Houston's Craig Biggio and Milwaukee's Rickie Weeks.
And two Dodgers who did not rank among leaders at their positions last week -- shortstop Rafael Furcal and outfielder Juan Pierre -- made the leaderboard this week, Furcal ranking fifth and Pierre 15th.
Fans can cast their votes for starters up to 25 times with the Monster 2007 All-Star Online Ballot at MLB.com and all 30 club sites until Thursday, June 28, at 8:59 p.m. PT.
Fans will again be given the opportunity to cast another All-Star vote immediately following the 2007 MLB All-Star Game Selection Show Presented by Chevrolet, which will be televised by TBS on Sunday, July 1. Baseball fans around the world will be able select the final player on each All-Star team via the Monster.com 2007 All-Star Final Vote.
Selecting the rosters isn't the end of the fun in 2007, either. Concluding the All-Star balloting process, fans will have the opportunity to participate in the official voting for the Ted Williams Most Valuable Player presented by Chevrolet at the All-Star Game via the Monster.com 2007 All-Star Game MVP Vote at MLB.com.
The All-Star Game will be televised nationally by FOX Sports and televised around the world by Major League Baseball International. ESPN Radio will provide exclusive national radio coverage, while MLB.com will offer extensive online coverage and MLB Radio will have exclusive play-by-play coverage of the game on the Internet.
Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.