The Oakland City Council voted unanimously Tuesday to enter into exclusive negotiations with the Oakland A’s to sell the city’s half of the Coliseum, a step forward in a battle between Oakland and Alameda County.

But the city has not yet dropped its lawsuit against the county, which it filed to block the county’s pending sale of its share of the 155-acre site to the team.

After the lawsuit was filed in September, the A’s offered the city to either buy their half share in the Coliseum site for $85 million or enter into a long-term lease. In return, the city would have to drop the lawsuit it filed to block Alameda County’s sale of its half to the team.

On Tuesday, Councilman Larry Reid told The Chronicle that the city has not dropped the lawsuit yet because of several “minor things that need to be resolved.”

“There are a couple points of contention that need to be resolved. They are not real major issues, and hopefully, they will be able to get resolved within the next two days,” Reid said. “If they get resolved, then we direct the city attorney to drop the lawsuit.”

Reid declined to elaborate.

The council voted during closed session Tuesday. A second closed session meeting is tentatively scheduled for Thursday, Reid said.

A’s President Dave Kaval said in a statement to The Chronicle that he hopes the city’s announcement includes a conversation on dropping the suit.

“We are encouraged to hear the City Council wants to begin conversations on a partnership to redevelop the Coliseum site,” Kaval said. “We hope these discussions will include them dropping this lawsuit before the next hearing on Nov. 14.”

Council President Rebecca Kaplan said the council has authorized the city to “enter into the direct negotiations with the A’s ... resolving all the issues and furthering the ballpark.”

In a text message to The Chronicle, Kaplan said the council authorized negotiations, but not a final deal. The council would need to vote on any deal in open session, she said. She did not respond to a question about the city’s plan with the lawsuit.

Oakland asked a judge on Sept. 27 to issue an injunction to stop Alameda County’s sale of its land to the team and to force the county to instead enter into negotiations with the city. The site, the largest piece of publicly owned land in Oakland, is jointly owned by the city and the county, and the A’s have agreed to pay the county $85 million for the county’s 50% share.

On Oct. 1, a judge issued a temporary restraining order effectively blocking Alameda County from selling its share of the Coliseum.

Oakland officials accused the county of violating the Surplus Lands Act, a state law that requires publicly owned surplus lands to be considered for affordable housing before the lands are sold or leased.

County officials have said that they want to get out of the sports business and had been in discussions with the city since 2015 to sell the county share — to no avail.

Note: An earlier version of this story misstated who Oakland is suing. The city is suing Alameda County.

Sarah Ravani is a San Francisco Chronicle staff writer. Email: sravani@sfchronicle.com Twitter: @SarRavani