Rooney's former England teammate John Terry is being considered for the job.
But Rooney believes he still has a chance of winning the job on a permanent basis.
"I'm no further on to knowing from where I was on Tuesday night," the player-coach told reporters ahead of Saturday's game against Millwall.
"I think the first thing is getting the ownership over the line. I've stated on Tuesday and on Saturday, of course, I want to do this job full time but we are where we are. We have to wait for all the paperwork to be sorted and then we see what happens from there."