Wojnarowski and McMenamin added that there are other teams interested in potentially signing Jefferson as well, although Milwaukee already has room on its roster after releasing guard Gerald Green.
The 37-year-old Jefferson would be a logical fit in Milwaukee for several reasons at this stage in his long and successful career.
We Owe the Indiana Pacers an Apology
B/R Looks Back on Tracy McGrady Scoring 13 Points in 35 Seconds in 2004
Tracy McGrady Scored the Most Impressive 13 Points of His Career in 35 Seconds
Butler Is the NBA's Biggest Country Music Fan
On This Day in 2012, Kobe Joined Elite NBA Club
NBA Handshake Fails
Is It Officially Panic Time in OKC?
Simmons Finally Faces 'Big Brother' LeBron
Leave Lonzo Alone, He's Only 20
The Boston Celtics Are on Top of the NBA
Gregg Popovich Has the San Antonio Spurs Rolling at Home
It's Early, but Stevens Is the Coach of the Year
Shaq and Chuck Used to Get into It on the Court
LeBron Isn't Worried, but Maybe He Should Be
NBA Superstars Are Cruising by Scoring Milestones
This Lakers Rookie Is Ready to Take Over the NBA
LeBron James Jr. Is More Than Just His Famous Name
Growing Up: Damian Lillard Tells Us How He Improved His Jump Shot as a Kid
Growing Up: the Game That Showed Isaiah Thomas He Could Be an NBA Star
Growing Up: How Kyrie Irving Became One of the League’s Most Lethal Scorers
Jefferson's last hugely productive campaign came in 2008-09, which was his only season with the Bucks during a previous stint in the organization.
He averaged 19.6 points per game that season and hasn't put up more than 12.3 in a single year since then.
Jefferson is also a former teammate of Bucks head coach Jason Kidd, as they played together for seven seasons with the New Jersey Nets and were key parts of two trips to the NBA Finals.
Perhaps most importantly, R.J. could be a mentor on a young and talented Bucks team that includes rising stars such as Giannis Antetokounmpo, Jabari Parker and reigning NBA Rookie of the Year Malcolm Brogdon.
Jefferson is coming off consecutive trips to the NBA Finals with the Cavs, including a championship in 2015-16.
Last season, Jefferson appeared in 79 games and averaged 5.7 points and 2.6 rebounds per contest, which suggests he could be a solid bench contributor for an up-and-coming Bucks team.