https://www.slab.org.uk/guidance/timescale-of-transfer-decisions/
Applications for a change of solicitor are normally dealt with on a daily basis. Where it is made clear that an application must be dealt with urgently, we will try to make a decision as soon as possible
We will send online notifications to the current nominated solicitor and the solicitor seeking the transfer, informing them of our decision on an application for transfer.
There is no formal right of reconsideration of refusal of an application for a change of solicitor. However, if you have additional information you wish to provide provided you can submit a re-consideration on-line (provided the case has not concluded).