After winning promotion from the Championship last season, the Welsh side are now eight games into their debut Premier League campaign and when asked if the honeymoon period was over his team, the Northern Irishman agreed.
However, despite seeing his side fall to Paul Lambert's men, the Swans manager insisted that he was proud of their efforts.
“They understand that [the honeymoon period is over], Rodgers claimed. “In the first couple of games it’s all new and there’s a lot of excitement.
“We must now very quickly knuckle down and play our game of football.
"We’re playing in the best league in the world. I’m not going to kill the players because they have been absolutely magnificent today.
“We’re going to have days like this here, probably many more than last season, but what is important for us is the ability to get up and go again.”
It didn’t take long for the home side to take the lead at Carrow Road, as Anthony Pilkington was picked out by Steve Morison with a clever header back across the penalty area for the former Huddersfield man to volley home with not even 50 seconds on the clock.
Rodgers was frustrated by the manner in which Norwich’s opener was scored, claiming his side had contained many more physically imposing sides than the Canaries so far this season but the former Chelsea coach remained upbeat.
He said: “It was disappointing to concede our first goal from a corner this season as we have contained a lot sides much bigger than Norwich, so that is obviously disappointing.
“In the attacking third we were a threat. [Our] Passing was slick, the movement was good.
"Everyone talks about our style and our identity, but we are normally very good defensively.
“We’ve kept four clean sheets already this season, and that is no mean feat for a newly-promoted team, so to be so disappointed is something I’m not particularly used to.
“You can’t be too disappointed in this league. It’s a wonderful league to be involved with so we’ll just look to the next match and look to put that right.”