According to Josh Kosman, Ken Davidoff and Claire Atkinson of the New York Post, Jeter's group has a $1.2 billion bid in place and is considered the front-runner to buy the Marlins from owner Jeffrey Loria.
The group includes NBA legend and current Charlotte Hornets owner Michael Jordan, but he is reportedly contributing little money to the enterprise.
Per the report, Loria's asking price is $1.3 billion. Miami billionaire Jorge Mas is believed to be on the verge of offering $1.17 billion, while a group led by Tagg Romney offered less than $1.2 billion.
The sale is expected to conclude next week.
The situation has been a whirlwind for Jeter, as he was originally partnered with former Florida Gov. Jeb Bush before the pairing dissolved in May.
Jeter managed to regroup, however, and add Naples, Florida, financial expert Bruce Sherman to the mix.
According to Atkinson, the Marlins are expected to lose $80 million in 2017.
The organization is hosting the MLB All-Star Game and its surrounding activities at Marlins Park this week.
While the Marlins have won two World Series championships, they have made the playoffs only twice in 24 years, and they are currently third in the NL East with a record of 41-46.