There had been considerable speculation that the Dutchman would be confirmed as David Moyes' successor following Tuesday's game against Hull.
But it is understood that the club are not planning to make an announcement until next week, with Van Gaal confirming his desire to be given the job on Wednesday night.
"I would love the job," he said at the start of a three-day Dutch World Cup training camp. "I hope that I shall be the one."
He added: "You (the media) are thinking I'm the man but the most important thing is whether Manchester United are thinking that."
Van Gaal, the former Barcelona and Bayern Munich coach, is leaving his current role at the end of this summer's tournament in Brazil and had apparently indicated that he wanted his future sorted before his first training camp began.
But the 62-year-old, who was strongly linked with Tottenham earlier in the summer, denied that any deal had already been agreed for him to take over at Old Trafford and stressed that he had other options on the table.
"There is no deal," he told Voetbal International. "There are newspapers saying that I've already signed, there are even names of assistants. Too bad it goes this way.
"There are several clubs interested in Louis van Gaal, we'll see what I choose to do and what choice that clubs are going to make. It's a process, so it goes with all clubs.
"And then I can say nothing about that process at this time."
Van Gaal has two further three-day training camps taking place in the next fortnight with the provisional Dutch World Cup squad due to be announced next Tuesday.
And the former Ajax boss, who failed to qualify for the World Cup in 2002 during a previous spell in charge of his country, made it clear he did not want talk of his next job to prove a distraction.
"I have to focus on my job," he said.
"I am coach of the Dutch national team. I have waited a long time to be in a World Cup so that's very important.
"This doesn't affect me. I have always had offers. I know what the football world is and what it means."