"I will keep you posted as we go along slowly," Mullens told council members.
Also Thursday, council members learned that the Dunbar Fire Department will now automatically respond to calls within South Charleston's city limits.
Up until this point, the two cities would respond to the needs of the other if personnel permitted.
"It will allow for more equipment on the scene, so we can do a better job," said South Charleston Fire Chief John Taylor.
The motion is expected to be officially approved at the next meeting.
On Monday, Dunbar Mayor Jack Yeager said that under the cities' proposed agreement, if a fire is reported at Thomas Memorial Hospital in South Charleston, for example, Dunbar firefighters would respond immediately.