Rovers secured the League One title in dramatic circumstance at Brentford on the final day of the campaign, despite Saunders' mid-season departure to Wolves.
Welsh veteran Brian Flynn picked up the reins in January but it was confirmed this month that he would move upstairs to a director of football post.
Saunders is on the market once more following his disappointing spell at Molineux which saw Wolves relegated from the Championship, while former Oldham boss Dickov has long been a leading candidate.
Doncaster have not named their candidates but a selection panel that includes Flynn are expected to conclude the interviewing process by the middle of next week.
A statement on Rovers' official website read: "Doncaster Rovers Football Club would like to confirm that four candidates have been shortlisted for the vacant manager's position.
"Interviewing for the post should be concluded by the middle of next week at the latest. Following the interview process an appointment will be made as soon as possible.
"Rovers wish to respect the confidentiality of all the candidates and will not be releasing any names at this point."