Graham has impressed in his four seasons with the Tigers and would be seen as a player to add support to Blues gun Patrick Cripps.
“I think Jack Graham at the moment is legitimately torn between staying at Richmond and joining the Blues,” Edmund said.
“He likes what the Blues have sold to him – and I’m not saying that he’s definitely going – but the choice he has to make is between Richmond and Carlton.
“He is a chance of leaving and there’s an offer on the table from the Tigers and there’s some toing and froing taking place there is my understanding.
“But it isn’t done.”
The Blues will also be looking to finalise a deal with departing Giant Zac Williams, with the pacer defender electing Carlton as his club of choice.