Moore has been offered a contract extension to keep him at the club until the summer of 2014.
Gradi told BBC Radio Stoke: "I don't think he and his agent want to make financial demands, they just want to talk about his future."
The 22-year-old joined Crewe as a schoolboy and has gone on to make 116 league appearances, scoring 12 goals, since making his debut in 2007.
Gradi added: "I've initially spoken to Byron and it has been encouraging, Neil Baker has spoken to his agent (the former Stoke player Clive Clarke) so I'm sure everything will be straight forward. He will ask some questions and we will answer them.
"I'm sure Byron will want to know about his future. He has been in-and-out of the side a bit and he will want to know where he can end up. The younger ones usually want to be reassured that they can move up if the chance comes and we explain to them how it works here.
"The indication I am getting from Byron is that he will sign."