Dickens has been working with the club's academy since hanging up his boots in 2010.
Dickens, who also played scrum-half for Sale, Leeds and Saracens, will now fill in while Saints director of rugby Jim Mallinder looks to replace Grayson.
"Alan will come in and change things up a bit," Mallinder told the Northampton Chronicle and Echo.
"He's got his own ideas, he's his own man, he's doing really well with the academy and the Wanderers, who've had a great season, and we'll see how that goes.
"I'm sure Alan would love the job, and why wouldn't you?"
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