Gonzalez has been linked with a move away from the Falcons due to their poor start to the season, with the unbeaten Chiefs reportedly keen to bring him back to the franchise he began his career with.
Dorsey refused to confirm whether or not he would trade a Draft pick for the 37-year-old, but did reveal that it was a situation he was looking at.
"I'm very frugal with those draft picks. No, it's not a no. We have to analyse each situation. That's kind of what that is," Dorsey told Sports Radio 810.
Gonzalez spent 12 seasons with the Chiefs between 1997 and 2008, missing just one match in that time.