Jonny Howson's close-range, second-half header secured victory on Saturday after the manager had reorganised his team into a more defensive shape to attack Swansea on the counter.
Norwich allowed their visitors the majority of the possession - as Arsenal had done in their 3-0 away victory a week previous - to successfully end a run of six games without a win, but Neil also acknowledged that such negativity represented a risk in front of a home crowd when the Canaries were not hosting a top-four team.
"We watched Arsenal, obviously, and the first half they conceded possession, and then they managed to hit them and hurt them on the counter-attack," he said.
"I thought we did similar: first half our use of the ball wasn't good enough, which meant we sat deeper and deeper, but (as the) second half wore on we were much more threatening going forward and it looked as if we could have scored more.
"The bottom line is, managing a club, you're always going to be under pressure and if it didn't work and we lost the game, then I would have been heavily criticised, the team would have been heavily criticised, 'The tactics would have been rubbish', but that's the facts of football, that's the way football is.
"When you win, now it's the perfect plan
That's the thin lines and thin margins of football
What you've got to do as a manager is what you think's right for your team to get the points, not what anybody else thinks.
"As soon as you're doing that, you're in the wrong job."
Perhaps most concerning for Swansea boss Garry Monk is that his normally game-changing players - Gylfi Sigurdsson, Jefferson Montero, Jonjo Shelvey and Bafetimbi Gomis - were again ineffective.
The manager refused to directly blame them for Swansea's poor run - they have won only once since August - but said that the key to arresting his team's decline comes in inspiring those previously so crucial to him in the final third.
"It goes hand-in-hand with the period we're in," he said
"We're not as potent as we want at the moment, we're arriving in those areas and we're not quite making good use of them enough.
"That's something for me to work with the players
They're good enough, all of them, it's about getting them sharper and righter, and to create those chances, to take them."
Source : PA