Jackson said late last month that he "wasn't losing sleep" over Anthony's free-agency situation but was "definitely concerned" that Anthony might sign with another team.
"It only takes one bidder out there that has the ability and can ruin your hopes and your chances," Jackson said.
Fisher also has made it known that he hopes Anthony re-signs with the Knicks.
"I want to be extremely clear that I would love to have the opportunity to work [with] and coach Carmelo Anthony," Fisher said in an interview earlier this week on ESPN 98.7 FM's "The Michael Kay Show." "I want him to be back with the New York Knicks and to remain a part of what we're trying to do here and what we will do. So I don't think anyone has expressed a lukewarm feeling about wanting him back. I think we're all trying to be respectful as people. Carmelo is a great person. He's a family guy, and they have decisions that are sometimes independent of what is best for everybody else. So you respect that process.
"So I would think Phil, Steve Mills, myself, we're trying hard not to turn this into a 'Carmelo, please stay' type of process. At the same time, we have no problem expressing that we do want him as part of this team. We feel we can win a championship with him as our core and centerpiece."