The official also said a deal with the USA will see a prisoner swap in exchange for the release of 7 billion dollars (£5 billion) in frozen Iranian funds.
US State Department spokesman Ned Price immediately denied the Iranian state TV report.
Iran will free prisoners with Western ties in Iran in exchange for billions of dollars from the United States and the United Kingdom, state television reported Sunday.
But Washington denied the report, saying suggestions of a prisoner swap were "not true".
But Jason Rezaian's case is now repeated for another time, when Iran dictated its favor to the Obama administration, pushing it to release 1.7 billion of Iranian frozen assets in the US.
'On the one hand, they are saying that these proceedings are legitimate, we don't agree with that at all, but then also saying that they are linked to this legal dispute - it can't be both.
Meanwhile, British officials downplayed unconfirmed reports about a separate deal that was struck concerning the possible release of British-Iranian national Nazanin Zaghari-Ratcliffe.
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"We are looking at ways of resolving what has been a multi-decade long problem".
Earlier on Sunday, Foreign Secretary Dominic Raab admitted that the aid worker was effectively being held hostage by Iran.
As the nuclear deal came into force back in early 2016, the United States paid back its own historic military debt and in return saw the release of four Americans detained in Tehran.
A Foreign Office official later played down the speculation on her release.
"In addition to her sentence, she is also banned from leaving the country for a year on charges of 'propaganda activities against the regime".
Zaghari-Ratcliffe was initially detained while on holiday in Iran in 2016, when she was working as a project manager for the Thomson Reuters Foundation, the news agency and data firm's philanthropic wing. Zaghari-Ratcliffe recently finished a five-year prison sentence on separate charges.
Tulip Siddiq, the Labour MP who is in close contact with Mrs Zaghari-Ratcliffe's family, praised Mr Raab for increasing the pressure on Iran.
Asked if it would be fair to describe her as a hostage, he said: "I think it's very hard to argue against that characterisation". "I have spoken to her family and they have heard nothing confirming any of these rumours", she wrote on Twitter.
Iranian Foreign Minister Mohammad Javad Zarif, who pushed for the 2015 nuclear deal under Rouhani, has seen himself embroiled in a scandal over frank comments he made in a leaked recording.
"That is not actually the thing that's holding us up at the moment, it's the wider context as we come up to the Iranian presidential elections and the wider elections on the JCPOA (Joint Comprehensive Plan of Action) which, inevitably from the Iranian perspective, the two are considered in tandem".
Tehran is now negotiating with world powers over both it and the US returning to the nuclear deal, which saw it limit its uranium enrichment in exchange for the lifting of economic sanctions. A U.S. delegation in Vienna was taking part in indirect talks with Iran, with diplomats from the other world powers acting as go-betweens.
"But it feels part of the negotiations rather than the end of them".
"Though again she wants me to sleep in her room at night".