Ole Gunnar Solskjaer took over from Jose Mourinho as interim manager earlier this month, but it is unknown whether United will appoint a bigger name in his place.
The Norwegian has started well at Old Trafford, winning both of his games so far with his team scoring eight times in the process.
But he quoted earlier this month that he had not talked about becoming manager on a full-time basis.
“When you get a job like this and they ask you to sign for six months you say yeah,” he said, per the Standard.
“I’m happy to help out and my job now for the next six months is to do as well as I can and move the club forward as well as I can.
“I understand there are so many managers who would love to be manager of Manchester United and I am one of them.
“But it is not something we’ve talked about, they’ll do a process now for the next six months.”
A whole host of names have been linked with the job, including Mauricio Pochettino, Max Allegri and Zinedine Zidane.
And Ed Woodward, Chief Executive of Manchester United, has given an update about the manager situation to Jim White.
Appearing on talkSPORT, White explained Woodward's comments to him and confirmed that nothing will be announced before the end of the season.
“Ed Woodward told me, on the record, that last week was not a proud one for Manchester United," White said.
“He said the club now needed to undergo the proper process of finding the right manager and that NOTHING will be announced before the end of the season.
“He said he’d been inundated with applications and recommendations – the top people in the game want this job.
“But he said, at the end of the day, nothing will be announced before the end of the season.
“He also said [owners] the Glazers are huge United traditionalists and they want to emphasise that they want things to be run the Manchester United way.”
It is good news for United fans that some 'the top people in the game' want to be United manager.
But it seems they will have to wait until the end of the season until they find out whether Solskjaer will continue as manager, or a different manager is appointed in his place.
At least the Norwegian manager will be able to prove his worth while United search for their ideal candidate.
Who do you want to be United's permanent manager? Have your say by leaving a comment below.