Olivier Giroud headed home a Christian Pulisic cross on the cusp of halftime and that was enough to condemn Daniel Farke’s men to their 25th league defeat of the season.
Lampard’s men currently need four points from their two remaining league matches - against Liverpool at Anfield and at home against Wolverhampton Wanderers on the final day - to secure a finish in the top four.
Despite their win against the Canaries, the West Londoners were lethargic and Lampard admitted there was a nervy feeling watching his side's display.
The English tactician was asked by Sky Sports to assess his side’s chances of making it to Europe next season and he said; "It's a tough one to call. We know our fixtures are hard, but everyone else also has tough games. This is the Premier League and it's not easy.
“We take our three points, we focus on ourselves, we can sit down and watch the other teams this week and focus on our FA Cup semi-final at the weekend [against Manchester United], but there's obviously still work to do.”
He added: “There's a nervy feeling for understandable reasons, so I'm pleased. We went a bit slow for about 10 or 15 minutes in the second half.”
“Then we began moving the ball again and there was a bit of personality in our game today, but we can improve."
