LeBron James, Dwyane Wade and Chris Bosh would all have to opt out of their contracts and take considerable pay cuts to make room for such a player.
"But everyone thought 2010 was a pipe dream," Riley said in reference to signing James to the Heat. "That's not where we're headed."
While Anthony is close with James, a move to Miami could mean signing a deal with a starting salary of $13.8 million - a four-year deal worth $58.8 million in total. This would also mean a significant cut from his max deal of $129 million over five years if he signs with the Knicks.
Riley said he does not anticipate presenting a plant that requires James, Wade, and Bosh to take pay cuts if they opt out - though he is open to other ideas that could help the heat make another title run.
"It's not about options. It's not about free agency," Riley said. "It's about what we've done over four years. It's about looking around the room now and seeing who is going to stand up. Those four years we've had with LeBron, we're hoping to turn them into eight or 10. We're not walking around on eggshells anymore."
Ultimately, Riley is focused on keeping the core of the Heat together, and believes that is enough to keep them on top.
"How can we keep the guys together?" Riley added. "We're prepared. We've got the main thing all written up. Whatever it takes to keep them together, we're ready for. Let's stay here and try to keep this thing going."