Head coach David Wagner says that his side need to maintain their current form until the end of the season to fight for promotion.
After picking up six points at home in the space of five days, Norwich are outside of the play-off spots on goal difference only.
Josh Sargent (2), Gabriel Sara and Christian Fassnacht were on the scoresheet in the latest win against Cardiff City.
"It was enjoyable, most of the game. As the manager, you're always a little bit 'in the game', and it's not like you're outside," Wagner said.
"I felt like more or less everyone on the pitch or in the stands. The players have played very, very fluid football, offensively created opportunities, scored wonderful goals. After they conceded and they were 1-0 down, we stayed calm and followed the gameplan, subs gave impact.
"It was a top performance, and we had some wonderful goals."
Cardiff did take the lead in the first half but Norwich were able to turn it around before the break and would continue to add to their tally in the second half.
"They stuck to it, and fair play to our supporters as well, they stuck to us and backed us. It shows how important this is, the atmosphere was fantastic.
"To give no corners against one of the best set-piece teams in the league was very, very important as well. The players executed the game plan perfectly and it's a wonderful afternoon we've had. Now, it's time to recover and go again."
"Everybody keeps their feet on the ground, we know nothing is done. We've had a very successful week, good performances, and now we have to continue what we've done in recent weeks.
"Blackburn away is the next one, a very emotional one the last time we were there where our skipper got heavily injured, we got the win and Liam Gibbs scored his first goal for the first team. We'll prepare as well as we can and we'll go there together and try to win."