Lambert led the Canaries out of League One and back into the Championship, where they have made an excellent start to the season, with the club third in the Championship and level on points with second-placed Cardiff.
The Scot has been nominated for the Championship's manager of the month award for December alongside Watford boss Malky Mackay, Leeds' Simon Grayson and Reading manager Brian McDermott.
Burnley are 11th in the Championship and have won one and lost one match since Laws' dismissal on 29 December.
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