Matthews, who made 13 sacks last season, is expected to agree to a new £8.5m contract in the coming weeks, while Rodgers could become the highest-paid player in NFL history with a deal of £16.5m per year.
However, Rodgers did not give away any details when he spoke to Milwaukee's 102.9 FM.
He said: "We'll see what happens here. I don't have an answer for you."
Rodgers's current deal is worth £43m over six years.