From Wednesday, March 24, whenever a briefing is led by a Scottish Government minister, members of the other main parties will be invited to contribute to the coverage.
The corporation will also consider how significant the new public health information expected to be discussed at each briefing is before deciding whether to broadcast it during the campaign.
It is thought that the briefings that are aired will normally be shown on BBC Scotland or the BBC News Channel, or on BBC One in Scotland when “major new information” is expected.
Edinburgh fire: Blaze breaks out at Franco's fish and chip shop in Newington
Edinburgh crime news: Teenage boy arrested after riding motorbike in a 'dangerous manner in a public place'
Ladies Day at Musselburgh Races: Children's nurse crowned most stylish woman
Edinburgh fire: ‘I knew I had to just get out’: Residents evacuated as fire breaks out in Newington area of Edinburgh
Crime: Teenage thug who fathered a child during sentence is back behind bars
The decision comes after opposition parties complained that the First Minister’s regular television appearances would give her undue prominence during the election.
Scottish Conservative leader, Douglas Ross, said: "We have argued for months that public health officials could and should lead these briefings to deliver essential public health messages without SNP ministers using Covid-19 for political point scoring.
"The shameful decision to let the SNP continue these briefings will have deeply damaging consequences for democracy in Scotland."
The corporation insisted that it had a duty to fulfil its commitment to providing key public health information amid the pandemic.
On Wednesday, Ms Sturgeon told MSPs that she would not appear at all Scottish Government daily briefings during the campaign.
She said: "It will not be business as normal during the election campaign but we will still be in a crisis and therefore we need to make sure we are serving the public appropriately.
"If there are big decisions that we are having to make during the election period,” she added, “then I have a duty to communicate to the public what they are."
In a statement, a spokesperson for the BBC said: "Our aim is to ensure that our commitment to providing key public health information to our audiences continues to be fulfilled.
“In all cases, our editorial decisions will be based on two considerations: the significance of the public health information to be discussed at the briefing, and the requirement for the BBC to exercise due impartiality during the election period."