I can confirm the announcement on 585kHz Dumfries [BBC Radio Scotland] appeared on 9 June 2020.
I do not yet know the date it is being turned off.
James Robinson (2020-06-10)
Maybe it already has taken place? Seen this on BBC website
“The areas that will be affected from the 9th June are:
Redmoss (Aberdeen) 810kHz
Listeners can re-tune to 93.1 MHz or 93.8 MHz FM
If listeners want to hear the MW schedule, they can use DAB or TV
Dumfries 585kHz
Listeners can re-tune to 94.7 MHz FM
If listeners want to hear the MW schedule, they can use 810 kHz MW or TV”
Ydun Ritz (2020-06-11)