Chief executive Gavin Baldwin presented a list of 16 applicants to the board on Friday, with the number reduced to eight following discussions.
Those involved in the shortlisting were then given the weekend to contemplate the selections and are expected to reduce the list further to six for interviews later in the week.
It is likely the interview process will see two or three candidates progress to a final stage of assessment, from which Rovers’ next manager will be determined.
The current eight names on the list represent a broad spectrum of experience in management, from those with one or two jobs on their CVs to some with coaching involvement at international level.
It is understood that current Rovers boss Andy Butler will receive an interview as part of club policy.
Rovers hope to be in a position to finalise the appointment of the manager next week with the announcement of the identity of the new boss to come in the days immediately following the final game of the campaign.
Meanwhile, Rovers are poised to confirm the first player to have signed a new contract at the start of the coming week.
One senior player has signed a fresh multi-year contract while a trio of younger members of the squad are due to complete the formalities on new deals in the coming days.
We understand the final stages of contract negotiations with other players are likely to take place with input from the next Rovers boss.