Jones is locked in the tightest race of any position in either league, with just 304,406 separating the veteran from Wright. Pablo Sandoval of the Giants (1,103,650) and David Freese of the Cardinals (1,095,206) are also bunched between Jones and Wright.
Jones has announced that he will retire after this season but said he wanted to earn a final All-Star appearance, not be given a spot on the team out of sympathy. It would be Jones' eighth All-Star selection.
All three of the Braves' starting outfielders are among the top 15 vote-getters at the position. Center fielder Michael Bourn (768,049) is eighth, right fielder Jason Heyward (717,121) is 13th and left fielder Martin Prado (560,943) is 15th.
Brian McCann, looking to be the NL's starting catcher for the second time in as many years, trails leading candidate Buster Posey of the Giants by 701,096 and has fallen from third to fourth place this week. McCann has been an All-Star in each of his first six full seasons in the Major Leagues.
First baseman Freddie Freeman remained in third place in the voting. He has 828,759 votes and trails the Reds' Joey Votto by 1,279,966.
Fans can cast their votes for starters up to 25 times at MLB.com and all 30 club sites -- online or via your mobile device -- using the 2012 All-Star Game MLB.com Ballot until Thursday, June 28, at 11:59 p.m. ET.
Fans can also once again participate in the State Farm Home Run Derby Fan Poll. Fans will have the opportunity to select three players in each league who they would most like to see participate in the State Farm Home Run Derby. The 2012 State Farm Home Run Derby -- part of Gatorade All-Star Workout Day -- will be broadcast live on ESPN, ESPN HD, ESPN Deportes and ESPN Radio in the United States beginning at 8 p.m. ET on Monday, July 9.
The 2012 American League and NL All-Star teams will be unveiled on Sunday, July 1, on the 2012 MLB All-Star Game Selection Show, televised nationally on TBS. Baseball fans around the world will then be able to select the final player on each team via the 2012 All-Star Game Final Vote on MLB.com.
And the voting doesn't end there. The final phase of All-Star Game voting will again have fans participating in the official voting for the Ted Williams All-Star Game Most Valuable Player Award presented by Chevrolet. During the Midsummer Classic, fans will vote exclusively online at MLB.com via the 2012 All-Star Game MLB.com MVP Vote, and their voice will represent 20 percent of the official vote determining the recipient of the Arch Ward Trophy.
The 2012 All-Star Game will be played at Kauffman Stadium on Tuesday, July 10. Come to MLB.com for extensive online coverage of the All-Star Week festivities.
The 83rd All-Star Game will be televised nationally by FOX Sports, 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 Sirius XM also will also provide comprehensive All-Star Week coverage. For more information, please visit allstargame.com or royals.com/asg.