Dozier had 841,980 votes has of Sunday, while Suzuki had 812,865.
Seattle's Robinson Cano leads all second basemen with 2,007,055 votes and Baltimore's Matt Wieters is at the top of the catchers, with 1,852,770.
Fans can cast their votes for starters at MLB.com -- online or on a mobile device -- using the 2014 All-Star Game MLB.com Ballot Sponsored by Experian until Thursday, July 3, at 11:59 p.m. ET. The 2014 All-Star Game will be played at Target Field on Tuesday, July 15 on FOX.
Grace Raynor is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.