The sentencing of David Gilroy, who killed Edinburgh woman Suzanne Pilley, is due to take place next Wednesday.
Earlier this week permission was also granted to film the proceedings.
Twitter use has been allowed before in a Scottish court but it will be the first time a sentencing at the High Court in Scotland has been filmed.
Gilroy was found guilty by a jury last month of murdering 38-year-old bookkeeper Ms Pilley.
She disappeared in May 2010 but her body has never been found.
Prosecutors believed that Gilroy, 49, buried his former lover in a "lonely grave" in a remote part of Argyll.
Gilroy will be sentenced on Wednesday 18 April.
During the filming, the camera will focus on the judge - no one else will feature in the footage except the macer and the clerk. Gilroy himself will not be filmed.
Live updating on Twitter from a Scottish court was allowed for the first time for the sentencing of former MSP Tommy Sheridan in January 2011.
However, guidance issued at the end of last year confirmed journalists in Scotland would not be allowed to use live text-based communication without specific clearance.
Journalists south of the border have been told by the Lord Chief Justice to "twitter as much as you like".

They have since been released but will be charged with public order offences.
Holidaymakers ran and hid from presumed attackers in Platja d'Aro after people pretended to be chasing a celebrity, shouting and taking photographs.
The panic turned into a stampede as bystanders mistook selfie sticks for weapons.
Eleven people were treated for bruising and heart palpitations. Three were taken to hospital.
Police were called to the centre of the town following reports that shots had been fired. The reports turned out to be false.
Videos on social media showed children in tears as people around them cowered under tables.
The German newspaper Die Welt (in German) said that about 200 people took part in the flashmob, which was organised by several Germans.
Apparently those taking part were invited on social media to go down to Platja d'Aro on Tuesday evening and behave like paparazzi.
The detained women, aged between 20 and 25, were in the Costa Brava town accompanying a youth group trip.
The president of Catalonia tweeted that some things should not be joked about. He also praised the reaction from the town council and police.
Scottish legal authorities have granted permission for Twitter to be used to report the conclusion of a murder trial at the High Court.
[NEXT_CONCEPT]
Five German women were arrested on Tuesday night when a flashmob stunt in a northern Spanish town  sparked fears of a terrorism attack.