The city of Austin and the family of David Joseph, a naked, unarmed teen shot and killed by a police officer, are in final negotiations in attempts to settle a wrongful death lawsuit for what is expected to be an unprecedented amount, the American-Statesman and KVUE-TV have learned.

The amount could be at least $2 million, according to three sources familiar with the negotiations, but city attorneys Friday said they were still drafting a proposal they plan to privately unveil to City Council members next week.

They added that, although the exact amount of the offer hasn’t been set, it is expected to top previous settlements after high-profile Austin police shootings. The highest the city has paid out previously was $1.25 million to the family of Larry Jackson, who was shot and killed in a shooting that then-Detective Charles Kleinert has said was an accident.

Council members are expected to consider the proposal in executive session Thursday, according to their agenda, after which city lawyers hope to present a formal offer to the Joseph family, the sources said. If Joseph’s heirs accept it, the council would then formally vote on the measure as early as mid-February.

"There has been no agreement on a settlement," city spokesman Douglas Matthews said Friday, in response to questions from the Statesman.

WATCH: Dashboard camera video in shooting of David Joseph

Joseph family attorney Jeff Edwards couldn’t be reached Friday afternoon. Several City Council members either couldn’t be reached or declined to comment because they haven’t been briefed on the matter.

Officer Geoffrey Freeman shot Joseph on Feb. 8, 2016, after, he said, Joseph, who was behaving aggressively and erratically, charged at him while he responded to a disturbance call in North Austin.

The case prompted an immediate response from many in the community who questioned why an officer would use deadly force on a person who had no way to hide a weapon.

The Joseph family filed a lawsuit in June, claiming Freeman used excessive force and that understaffing at the Austin Police Department also contributed to Joseph’s death.

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In testimony Freeman gave as part of a deposition in the lawsuit last year that was obtained by the Statesman, the former officer acknowledged he could have used other weapons — including his hands, a Taser, a baton and pepper spray — to fend off Joseph, 17, but said he opted to fire his gun because he saw the charging teen as a threat to his life.

He described the shooting as self-defense.

"My intent was to get there, hold the scene, hold him there if he stayed there," Freeman testified. "I tried to wait. … I gave ample distance. He chose to charge at me."

The lawsuit names Freeman specifically, asking for punitive damages to be assessed against the veteran officer, noting that Freeman was a much larger man who had several forms of nonlethal force he could have used to subdue Joseph.

The suit also blames Austin police, arguing that the department’s officer training contributed to the shooting by instructing officers to never retreat, and by failing to change departmental behavior despite a history of disproportionate deadly violence against African-Americans.

Then-Police Chief Art Acevedo fired Freeman, who appealed. In December, the city and Freeman settled under an agreement in which Freeman was paid $35,000 to drop his appeal, which was set for arbitration that month.

A Travis County grand jury declined to indict Freeman in the shooting.