The No. 1 candidate to replace Jack Ross isShaun Maloney.
The former Celtic and Scotland player is currently working in Belgium.
Gary Caldwell would return to Hibs to become the assistant to the manager.
Gary Caldwell could return to Easter Road as an assistant.
Further talks are expected between Ben Kensell, the CEO of Hibernian, and Maloney.
The League Cup final is on Sunday, and before that, the Hibs play a game against Dundee.
David Gray, a former Hibs captain, has been in charge of the club since last Thursday when Ross was sacked.
The correct appointment will be made by Hibs.
Kensell said he's focused on getting the right man for the job after he was sacked.
One of the names linked to the position was former England andLiverpool player,Robbie Fowler.
Kensell thanked David Gray, Eddie May, and Craig Samson for taking charge of the first team during the interim period.
David Gray is in charge of the team.
We have a big week coming up and I know how hard the players and management team are working to get the performances we are all looking for.
I am fully focused on the task in hand to make sure we get the right appointment to move this football club forward.
I would like to assure all of you that we are doing a thorough and strategic approach as we look for a new manager.
Due to the fast-changing nature of the sport, a clear plan is in place for every eventuality. We were able to stay in control of the process.
Hibs chief executive Ben Kensell says the manager search is close to a conclusion.
There has been a lot of interest in the managerial position and the media has been wide of the mark.
There is a clear vision for the football club. We want a manager who is progressive and hungry for the chance to build something special at a big club in Hibs.
The process has been robust and there is a support plan for the manager that will help us achieve our long-term ambitions.
"We are coming to a conclusion, but I would urge everyone to get behind David Gray, his coaching staff, and the players at this evening's important cinch game against Dundee, and we will update supporters in the near feature regarding an appointment."