Two weeks ago Pilkington, a £2million summer signing from Huddersfield, missed a glorious chance to put Norwich ahead against Manchester United and then went on to hit the post in the second half before the Barclays Premier League newcomers eventually lost 2-0.
The 23-year-old was far more ruthless in front of goal on Saturday, however, taking just 50 seconds to put the Canaries ahead before sealing the victory with a close-range strike after making room for himself with a clever turn in the box.
"What Pilkington does with his deliveries and his influence on the team is excellent," Lambert said.
"To get two goals after a horrendous leg break and what happened at Old Trafford, he will be delighted.
"I spoke to him after the United game and I just told him to continue playing the way he usually does.
"His play at Old Trafford was excellent. He just needed that goal.
"There was a little bit of pressure after what happened a fortnight ago so to come back and do it in front of your own fans the way he did was terrific."