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Neil Doncaster and David Longmuir are both interested in leading the newly-formed Scottish Professional Football League.
Former SPL chief executive Doncaster is currently sharing duties with his Scottish Football League counterpart Longmuir.
Both want the top job, and the new organisation's six-man board will choose between them.
Doncaster said: "It's not a question of applying for the position. There are two acting chief executives and the board will be selecting one of those to take the new league body forward.
"Interviews will take place over the next 10 days or so but that's for the board to decide who they want to lead the organisation in future."
Longmuir said: "There will be a process over the next week or so where the newly-appointed board of the SPFL will make a decision. I will enter into that process wholeheartedly."
A deal to reunite the governing bodies has been proposed and faltered several times, and Longmuir has revealed that the merger was under threat until the last moment.
He said: "There was a point in time yesterday where the SFL board were not completely satisfied to allow the decision to be made.
"There was more time, more information, more co-operation required. Once we achieved that, it all began to develop."
The SPFL will have 42 member clubs after Rangers' full share was reinstated, and the Ibrox board plans to play a leading role.
Chief executive Craig Mather said: "This is the status Rangers should have and we look forward to playing a full and leading part in the rebuilding of Scottish football.
"That's what all of us, everyone who cares about the game, should be working towards. It is also important that Rangers' voice be heard because this club is too big and too important to be ignored."
The Uruguay international has made numerous public pronouncements since the end of the season, suggesting a move to Real Madrid interests him and claiming his mistreatment at the hands of the British media has driven him to look elsewhere.
Liverpool have not yet heard from the player or his agent about his intentions and no approach has been made by the Spanish side.
Suarez is still on international duty at the Confederations Cup, where he has a third-place play-off against Italy on Sunday, but once the tournament has finished it is anticipated there will be some movement in regards to his situation.
And despite all the indications pointing towards an exit for the 26-year-old, Carragher, who retired at the end of last season, remains hopeful his former club can hang onto a player who scored 30 goals last season.
"I think he might stay. Some big clubs will be interested in him because he is such a top player and that is something we have to accept," he told ITV.
"We can't complain about that, we bought him off Ajax.
"He signed a contract last summer and he has a few years left and hopefully we can keep him,
"He is very important. He was probably the best player in the Premier League last season and you want to be keeping your best players, which is what he is."
Former Liverpool striker Robbie Fowler hopes changes at three of England's top four clubs this summer give the Reds a chance of making up some ground.
Manchester United, Manchester City and Chelsea have all replaced their managers and Fowler believes that may help Brendan Rodgers, who begins his second season in charge having made significant progress in the transfer window already with four signings.
"At the start of every season, we always have aims and ambitions to get into the top four and get as high up the table as we can," he told liverpoolfc.com.
"We didn't do it last season, but you could see the progression was slowly getting there - we were getting better all the time.
"For this season, there have been a few more players added to the squad, so I think the consistency will be a little bit better.
"The likes of Manchester United and Chelsea have got new managers now, so hopefully it will be a bit of a sticking point for them.
"But in terms of Brendan Rodgers and the squad we're putting together, I think we can certainly challenge for that top four."
