"Let's be honest, all of us minions have nothing that we can offer Aaron that would even come close to anything that he would get," Hawk told the NFL Network.
"He deserves every dime he's going to get. He's going to get a billion dollars, probably, so I'm OK with anything they want to give him, because he's one of the best in the world and he deserves everything."
Hawk, who took a pay cut of more than $7 million this offseason to remain in Green Bay, made his comments with Rodgers and the Packers working toward a long-term extension that's expected to make the former MVP the highest-paid player in NFL history, according to league sources.
Both Rodgers and the Packers have been hesitant to comment on a potential extension, but leaguewide speculation is that the deal could average $25 million per year.
A former Super Bowl MVP, Rodgers is under contract through 2014, having signed a six-year, $65 million contract in October 2008. Rodgers' base salary in 2013 is $9.25 million, while his 2014 deal is worth $10.5 million.
Those financial figures are drastically less than the contracts struck recently by other star quarterbacks. Rodgers' new deal is expected to rival those of Joe Flacco, Drew Brees and Peyton Manning, a trio of Super Bowl MVPs whose contracts are among the richest in NFL history.
Flacco became the NFL's highest-paid player in March when he signed a six-year, $120.6 million contract with the reigning champion Baltimore Ravens. The Saints signed Brees to a deal last year that pays him an annual base salary of $20 million. Manning's deal with the Denver Broncos pays a base salary of $18 million.
Rodgers, 29, passed for 4,295 yards and 39 touchdowns last season while leading the Packers to their fourth consecutive playoff appearance. The three-time Pro Bowler enjoyed his best season in 2011, when he was named league MVP after passing for 4,643 yards and 45 touchdowns.
Information from ESPN NFL Insider Adam Schefter was used in this report.