Sources in the island that the delegations of Washington and the Afghan Taliban in the Doha negotiations agree on a transition period of 14 months.
She said discussions were continuing about the Taliban's refusal to continue Washington's support for the Kabul government during the transition.
The same sources confirmed at the same time that the atmosphere of negotiations between the parties is positive, and that there is a trend to sign the final agreement during the current round.
The trip began last Thursday in Doha on the back of the killing of two US soldiers on Wednesday in Afghanistan, and explosions ten rocked the city of Jalalabad last Monday, as well as a "suicide" attack on a wedding ceremony last Saturday in the capital Kabul, killing 80 people claimed by ISIS.
The agreement is expected to include the withdrawal of more than 13,000 US troops from Afghanistan with a clear timetable, the Taliban's main demand, along with a ceasefire between the movement and the Americans or at least a "reduction in violence."
The deal, if reached, would be historic, 18 years after the US invasion of Afghanistan and the ouster of the Taliban from power in the wake of the September 11, 2001 attacks.
US President Donald Trump said again on Tuesday: "We have been there for 18 years, this is ridiculous," describing the negotiations with Kabul and the Taliban as good.