That meant potential trade chips like outfielder Adam Dunn, relievers David Weathers and Jeremy Affeldt and catcher David Ross stayed put.
Like Griffey, all are likely to become free agents at season's end.
"We talked to different clubs about different proposals, but never felt there was one that really benefited us," Jocketty said. "We're better off holding on to the players we had and try to win as many games as we can."
Without Griffey, the Reds will have rookie Jay Bruce shift to right field from center field. Leadoff hitter Jerry Hairston Jr. will be activated from the 15-day disabled list and become the everyday center fielder.
And of course, Dunn will remain in left field.
With Griffey's $16.5 million club option off the books already for next season, it could conceivably open payroll room to re-sign Dunn. Jocketty was non-committal.
"It gives us a chance to see how that outfield makeup works and evaluate our club for the future," Jocketty said.
In exchange for Griffey, Cincinnati received right-handed pitcher Nick Masset and second baseman Danny Richar. Jocketty used an interesting word in his description of the players he acquired.
"Ken Griffey Jr. was a big part of this franchise for a long time. It's the beginning of a new era, I guess," Jocketty said. "It's part of the process we're in of trying to build a winning long term franchise here for our fans. We need to keep adding to the depth of our organization and trading for younger players like this, if we can, supplement what we have."
Masset appeared in 32 games this season and posted a 4.63 ERA. He has made two starts over his career with Chicago and looked forward to starting fresh.
"Ultimately, I think it's going to really open up my future as a starter," said Masset of the move to the Reds. "I'm really looking forward to being a starter, if that's where they want me to fit. That's something I always wanted to do, and I'm excited to head over to the National League.
"But I also have a lot of great friendships with the guys over here, and it's tough leaving a first-place team in contention for the playoffs. It's tough leaving the White Sox."