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Fury offered terms to Joshua's camp following his compatriot's second defeat to Oleksandr Usyk last month, when the former Olympic champion failed to regain the WBA, IBF and WBO belts back from the Ukrainian.
A provisional December 3 date has been pencilled in for a blockbuster all-British bout and Hearn, Joshua's promoter, says progress has been made with talks after an initial offer from the Fury camp was turned down.
"It's not unusual to get a contract that you're not over the moon with - and it wasn't that they were playing games or anything like that," he told ID Boxing.
"It's just really down to the format of the agreement, which is being rectified and we're working positively to try and get that in the right shape and I think we're nearly there in terms of the format of that agreement.
"[The contract] wasn't really as we expected, but that was a few days ago and we've had some positive conversations. Reshaping that slightly, which seems to be positive.
"We've still got a long way to go. Obviously, the broadcasters have got to have their discussion. There's not a lot more to tell you other than both teams are doing everything they can to try and find a way to make it happen."
George Warren, the son of Joshua's UK promoter Frank Warren, hopes further progress can be made in talks this week.
He said: "We're still talking. Everything at the moment is very amicable.
"We're having fresh conversations this week. We're hoping that we're going to move forward. We're all working hard to make it happen.
"I'm not going to put a timeline on it. We need realistically to know what we're doing, what Tyson's doing. There's no ifs, buts or maybes, Tyson's fighting the end of this year.
"Timetable-wise, timescale-wise, for both fighters it looks like it could work. Everything's very amicable, everything's going okay so far and fingers crossed we get some good news for British fight fans very soon."