A unification fight has been in the making for some time, with WBA, IBF, WBO and IBO champion Joshua and WBC champion Fury keen to claim all of the gold.
"We're back and forward with draft contracts," Joshua's promoter Hearn told Matchroom Boxing's YouTube channel.
"We've sent a draft contract, they've sent some minor changes – nothing too big, so again we're moving in the right direction.
"I've lost count of the number of times I've said 'the next two weeks', but the next two weeks we hope for an official announcement and then we go out and decide where this thing will take place."
The highly-anticipated fight between two British boxers could take place abroad, with Hearn touting Saudi Arabia and the United States among the possible host sites.
"Yeah, loads. We've had massive offers from the Middle East," the promoter said when asked about the possible location for the fight.
"We're talking to Qatar, we're talking to Saudi Arabia, Abu Dhabi, we're talking to Singapore, we're talking to China, we're talking to America.
"A couple of wildcards in there as well. But first of all I want to make sure the deal is in place then we can go out there and talk to these people sensibly and with confidence this fight is happening, and like I said we're a couple of weeks away."
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