Southampton manager Ralph Hasenhuttl told BBC Sport: "It is clear we used a lot of energy in the first 70 minutes, until 2-1 it was a good game from us. They thought something was possible for them and in the last 15 minutes we were a bit tired.
"We knew when December came it was games we needed to take points from. There is still a lot of games to go, we have found a shape and a core and that helps us to play in an aggressive way and that's what the supporters like to see here.
"We have lifted ourselves from the relegation zone and you see how quickly things change but there is still a long way to go."
On Danny Ings, who has scored nine times in 10 matches, Hasenhuttl added: "He scores nearly every game, it is a massive run. I'm very happy with his fitness, last season he was always injured and he is really helping us."
Norwich City boss Daniel Farke told BBC Sport: "We always have to be on our best level because in the first half it was not great from us. We said we had to stick to our principles, but conceded two goals from set-pieces and in the second half we went back to our principles.
"It was a really good reaction in the second half but it is important to play this way for 90 minutes. I would be concerned if we don't show any reaction, but we showed a great reaction. In the end we deserved at least a draw and had good chances but were unlucky we were not able to equalise.
"I'm a bit more annoyed in the first half we weren't brave enough. We need to stick to our plan, they did not play us out of the park, they didn't have chances in the first half apart from two set-pieces."