Braun is trying to track down Miami's Giancarlo Stanton and his teammate Gomez for a spot in the starting NL outfield. He is less than 200,000 votes behind Stanton and nearly 500,000 behind Gomez. Meanwhile, Gomez is locked in a tight race at the top, with less than 60,000 votes separating Gomez and Yasiel Puig, who sits in first place.
Braun and Gomez put up just a pair of notable performances from contenders for this year's All-Star Game. Here are the others:
Braves first baseman Freddie Freeman followed a 3-for-5 Friday with two solid showings in an Atlanta doubleheader. He went 0-for-2 but scored four times in Game 1, and he went 2-for-4 in Game 2. Freeman is chasing Arizona's Paul Goldschmidt, who walked three times on Saturday against the Padres.
In the American League, Albert Pujols continued to rebound from his recent slump, going 2-for-5 with two RBIs against the Royals. Pujols dropped from third to fourth place in the most recent ballot update and trails first-place Miguel Cabrera by more than 1.6 million votes. Cabrera went 0-for-5 with a strikeout Saturday but still sports a .315 average.
Overall leading vote-getter Jose Bautista did not play again Saturday, still recovering from a hamstring strain, and NL leader Troy Tulowitzki went 0-for-2 with an RBI against Milwaukee.
Blue Jays third baseman Brett Lawrie sat out with a broken finger, and the other three Toronto All-Star hopefuls (Jose Reyes, Edwin Encarnacion and Melky Cabrera) combined to go just 2-for-13.
Pirates second baseman Neil Walker went 1-for-3 with an RBI, as he looks up to Philadelphia's Chase Utley among NL second basemen. Utley, who went 1-for-5 in a doubleheader, leads Walker by almost 700,000 votes.
Walker's teammate Andrew McCutchen, sandwiched between Puig and Gomez among NL outfielders, went 1-for-4 with a run scored, as he tries to secure a starting nod. Puig went 2-for-4 with two runs scored during the Dodgers' 9-1 romp over St. Louis Saturday.
Stanton, who will reportedly participate in the Home Run Derby, collected three hits, an RBI and a run scored during Miami's 14-inning marathon loss to Oakland.
Two days after celebrating his 40th birthday, Derek Jeter went 1-for-3 and drove in the Yankees' only run on Saturday. Chicago's Alexei Ramirez did not start the White Sox's game against Toronto but had a pinch-hit RBI-single in the eighth inning that put his team up two.
Fans can cast their votes for starters at MLB.com and all 30 club sites -- 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.
Fans may submit up to 25 online ballots, but they can also earn a one-time bonus of 10 additional online ballots. To access these additional online ballots, you must be logged into your MLB.com account when you submit any online ballot. If you do not have an MLB.com account, register on the site in accordance with the enrollment instructions for a free MLB.com account.
Fans this year once again can participate in the 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 Home Run Derby. The 2014 Home Run Derby 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 14.
The 2014 American League and National League All-Star teams will be unveiled on the 2014 MLB All-Star Game Selection Show during the weekend of July 5-6, with further details to follow on MLB.com. Immediately following the announcement of the AL and NL All-Star rosters, fans can begin voting to select the final player for each league's 34-man roster via the 2014 All-Star Game MLB.com Final Vote Sponsored by Experian. Fans will cast their votes from a list of five players from each league over the balloting period.
And the voting doesn't end there. The final phase of All-Star Game voting will again have fans participating in the 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 2014 All-Star Game MLB.com MVP Vote Sponsored by Pepsi, and their voice will represent 20 percent of the overall vote that determines the recipient of the Arch Ward Trophy.
MLB.com will provide extensive online coverage of the All-Star Week festivities.
The 85th 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.