When it expects the Land Register to be completed.

The Keeper of the Registers of Scotland is responsible for the administration of the two property registers in Scotland. These registers are the General Register of Sasines, a register of deeds, which is gradually being superseded by the Land Register, a register of title. The Land Registration (Scotland) Act 1979 introduced the system of land registration in Scotland. The act envisaged the progressive introduction of the Land Register over Scotland on an area-by-area basis. This was completed in 2003, and the whole of Scotland is now operational for the purposes of land registration.
Transactions that induce first registration in the Land Register are set out in the Land Registration (Scotland) Act 1979. Generally, only a transfer of property for valuable consideration (i.e. a price) will induce the first registration of a property in the Land Register. Thus any property transfer involving deeds recorded in the General Register of Sasines that does not attract a price will remain on that register.
There is no set timescale for every property in Scotland to be held on the Land Register. Over time, as more properties held on the Register of Sasines are sold, the stock of properties in Scotland held on the Land Register will increase. The percentage of properties in the Land Register is presently rising by around 3% a year.