The Canaries manager was pleased with his side's second-half showing against Michael Laudrup's charges, while Gary Hooper could not hide his delight at equalising half-volley
Nathan Dyer opened the scoring but was subsequently carried off on a stretcher with a suspected fractured ankle, and the momentum appeared to shift in Norwich's favour after the incident.
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"Swansea have had a tough week. I thought we very much edged it in the second half," he told reporters.
"We conceded a poor goal, showed great character, and needed a special goal to get back into it.
"I thought if anyone was going to score in the second half it would be us. [But it was] important we didn't lose the game."
Hooper was delighted with his strike, which brought the home supporters to life, but also rued Norwich's inability to finish their other chances.
"It was a great ball [by Steven Whittaker] for my goal, a great chest down [from Johan Elmander] and I just looped it in," Hooper added.
"I had to make up for the one [when] I went round [Vorm] and missed. It sat up nice for me.
"We had a few chances; [Swansea] have had a long week. I thought we played well in the second half but didn't take the chances."