Frazier crossed the million-vote mark this week, coming in with 1,064,886. However, he is still far behind the leader of the pack, the Cardinals' Matt Carpenter, who nearly triples Frazier's total with 3,140,056 votes.
Frazier is hitting .282 (60-for-213) with 16 home runs and 36 RBIs this season. His 16 homers are tied for fourth in the National League and sixth in the Major Leagues.
Cozart picked up nearly 200,000 more votes this week to push his total to 734,027, but like Frazier, he is trailing the leader by a large portion. Jhonny Peralta of the Cardinals remained the top vote-getter for shortstops for a third straight week with 2,441,384 votes.
Cozart is batting .261 (49-for-188) with eight home runs and 25 RBIs. He went 3-for-4 with one home run and two RBIs on Monday night in a 6-4 win over the Phillies.
For a second straight week, neither first baseman Joey Votto nor second baseman Brandon Phillips were in the top five at their positions. Both were ranked in the top five in the first update of fan voting, but fell out of the top five last week.
Fans can cast their votes for starters at MLB.com and all 30 club sites -- on their computers, tablets and smartphones -- using the 2015 Esurance MLB All-Star Game Ballot until Thursday, July 2, at 11:59 p.m. ET. For the first time, voting is exclusively online, where fans may submit up to 35 ballots.
Fans may also receive the ballot by texting VOTE to 89269 (USA) or 101010 (Canada). Or text VOTA for a ballot in Spanish. Message and data rates may apply. Up to five messages. No purchase required. Reply STOP to cancel. Reply HELP for info.
Following the announcement of the 2015 All-Stars, be sure to return to MLB.com and cast your 2015 Esurance MLB All-Star Game Final Vote for the final player for each league's All-Star roster. On Tuesday, July 14, watch the 2015 All-Star Game live on FOX, and during the game visit MLB.com to submit your choice for the Ted Williams Most Valuable Player Award presented by Chevrolet via the 2015 MLB All-Star Game MVP Vote.
MLB.com will provide extensive online coverage of All-Star Week festivities.
The 86th All-Star Game will be televised nationally by FOX, in Canada by Rogers Sportsnet and RDS, and worldwide by partners in more than 200 countries via MLB International's independent feed. ESPN Radio and ESPN Radio Deportes will provide national radio coverage of the All-Star Game. MLB Network and SiriusXM will also provide comprehensive All-Star Week coverage. For more information, please visit allstargame.com.
Robert Bondy is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.