A decision on whether or not there will be a public inquiry into policing tactics used at Orgreave will be made by the end of October.
The announcement comes after members of the Orgreave Truth and Justice Campaign met with Home Secretary Amber Rudd.
Campaigners had earlier demonstrated outside parliament alongside Labour leader Jeremy Corbyn and shadow home secretary Andy Burnham, putting pressure on the Home Office to launch an inquiry into events.
Campaigners who want a public inquiry into the "brutality of policing" at the 1984 Orgreave miners' picket have staged a demonstration in London ahead of a meeting with Home Secretary Amber Rudd.
They were joined by Jeremy Corbyn, shadow home secretary Andy Burnham, and veteran Labour MP Dennis Skinner, who said an inquiry would reveal that "what we suspected at the time is true".
A spokesman for the Orgreave Truth and Justice Campaign (OTJC) said they hope meeting Rudd would "reinforce the case for a public inquiry into the brutality of the policing of pickets".
Margaret Aspinall, whose son died at Hillsborough, said: "If the truth about Orgreave had come out right away I don't believe Hillsborough would have happened."
South Yorkshire Police has voluntarily referred itself to the Independent Police Complaints Commission (IPCC) following media reports about the way the force handled the 1984-85 miners' strike in Orgreave.
The force, which said it will cooperate fully with the IPCC, said it anticipates that the body "may take some time to consider fully whether any investigation is required and if so any terms of reference."