And because of that latter fact, it's looking doubtful that Junior will be starting in the outfield for this year's Midsummer Classic at Detroit's Comerica Park on July 12, unless he gets a big push in the final weeks.
Griffey is in fifth place with 625,219 votes, trailing the Mets' Carlos Beltran (1,047,531), the Cardinals' Jim Edmonds (972,720), the Phillies' Bobby Abreu (965,805) and the Marlins' Miguel Cabrera (677,345).
Voting for the All-Star Game has wrapped up at Great American Ball Park. But Reds fans can still cast their votes for starters up to 25 times with the Ameriquest 2005 All-Star Online Ballot at MLB.com and all 30 club sites.
Online balloting ends at 11:59 p.m. ET on June 30.
If Griffey is selected to the starting lineup this season, it will mark the 13th time he's achieved that feat in his 17-year career. Only Cal Ripken (17) and Rod Carew (15) have been voted to the starting lineup more times.
Junior has played in eight All-Star games, most recently in 1999. He has hit .435 in 23 at-bats in those games.
The 35-year-old Griffey is playing this season with three titanium screws holding his right hamstring together, yet he's still managed to put up some decent numbers and make more than his share of fine defensive plays.
At the plate, Griffey had a .274 average with 11 home runs and 43 RBIs through 64 games. He had a rough April, but quickly heated up in May. His 26 RBIs in May were the third-most of any Major Leaguer that month.
Left fielder Adam Dunn had been the only other Reds player getting significant attention in the balloting. But in the latest release of vote totals, Dunn fell out of the top 15 vote-getters in the NL outfield.
Shortstop Felipe Lopez, who had a .298 average with 11 home runs and 39 RBIs through 54 games, has perhaps the best chance of any Reds player of making the team as a reserve.
Anthony Castrovince is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.