The deadline for applications passed on Wednesday evening and Mallinder has revealed he was not among those to apply for the position.
Mallinder, who previously coached England U21s and Saxons, had been among the favourites to become Martin Johnson's long-term successor.
"No, I've not applied," Mallinder told the BBC. "It's probably the best job in the world coaching wise. What a great opportunity. But it's got to be the right thing at the right time.
"At the moment I'm concerned with getting Northampton to win something.
"I spoke to [Rugby Football Union director of operations] Rob Andrew a month or so ago. As I have done previously, I expressed that one day I think it's a tremendous job to do."
Wayne Smith, who was part of the All Blacks' World Cup winning coaching team, has also ruled himself out of the running.
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
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The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
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The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
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The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.