Britton was speaking after the Swans beat Cardiff 1-0 in the third round of the Carling Cup to earn a fourth round place as well as the first South Wales bragging rights of the season.
But he said to proclaim the Swans as the best team in Wales was a little premature with the highest placed team over the 46 game season being the one who can lay claim to that title.
He told this week’s Wales on Sunday “You have to look at the 46 games in the league and who finishes highest – then you can say who is the better team.
“The fans want us to be No 1 team in Wales. And there’s always a lot of talk between them about the bragging rights. But it was one cup win – we’re not going to be shouting from the rooftops that we are the best team in Wales just yet.
“To get the win after the years of them being higher than us was nice for the fans.
“But the ideal scenario would be to finish higher than them – they might be the favourites to do that because they’re an experienced side, they’re established in the Championship and this is only our first year at this level – but we’re all confident we can do well.
“In the long scheme of things it is not about beating Cardiff, it’s about doing well in the league and trying to progress. The ultimate aim for us is to get into the Premier League.
“If you want to bring it back to Cardiff, you only have to look to when I first came to the club when we almost dropped out of the League and Cardiff were going up and doing well – now we’re level pegging.
“To see how far the club has come is unbelievable – and that win against Hull was the kick up the backside everyone needed. We’ve got to the Championship but we’re still aiming high.
“We’ve taken the pats on the back and the congratulations for last week – but that’s gone now.
“The only thing we can do is take the confidence and move on with it because we know we need to get some good points on the board before the international break.
“As a club we are still settling down in a new division – but we know the longer we keep up our high standards we will win more games than we lose.”