The Scot said he targeted the top flight when he replaced Dennis Wise as manager midway through the season and despite the setbacks insists it is only a matter of time before Leeds are back among the elite.
It looked like they would have to wait a
nother year when they trailed Carlisle 2-0 in the first leg of the play-off semi-final at Elland Road, but an injury-time goal followed by a 2-0 second-leg win turned the tables.
He said: "The analogy is it's like an oil tanker. It's stopped, I think it's turned a wee bit and it's starting to go forward again.
"One day it will definitely be done and I just hope it's me that's a part of running this team.
"Leeds will be back. We just want it to be sooner rather than later. The momentum's there.
"I was as surprised as anyone by our performance in the first leg against Carlisle, but I just thought there was a momentum and we went and scored in the 96th minute.
"We took that into the second leg up there and I thought we thoroughly deserved the 2-0 victory."
McAllister will have on-loan Leicester left-back Alan Sheehan back from suspension for the Wembley showdown and must decide whether to recall him to his starting line-up in place of Bradley Johnson.
Rui Marques, meanwhile, has signed a new two-year contract at Elland Road to bring to an end several months of wrangling.
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