The Top Rank promoter admits that talks have been "pleasant" between his company and Joshua's Matchroom stable and that most of the issues regarding the clash have been ironed out.
Arum, who promotes the Gypsy King, said: "All I'll say about what's happening is that both Matchroom's side and our side, which includes Queensberry and Robert Davis [Tyson's lawyer].
"The negotiations have been pleasant. It's proceeding like every big fight does."
Arum continued: "We made changes, they accept some, they send it back, back and forth. And all I can say is that the issues are gradually dwindling. That's what you wanna do in this type of situation. You wanna diminish the number of issues. And now the number of issues is less than a handful, so I am very optimistic that this is gonna go over the line."
Arum admits that it has been difficult to keep fellow promoter Eddie Hearn quiet about how the talks were progressing.
He told talkSPORT: "It's very, very hard for Eddie to shut up. I told him, let's get this over the line, let's get this done, and then we'll make a joint announcement. To stop Eddie is like stopping a raging river. He can't keep his mouth shut."