The Reds suffered defeat during their last visit to the Liberty Stadium in May, but came close to taking all three points this time out.
Jose Enrique had an effort ruled out for offside before Raheem Sterling crashed a half-volley against the crossbar.
Rodgers was happy with his team’s display despite failing to come out on top:
“I was really pleased with the quality of our game today, I thought our build-up play was good and we got through the thirds well.” He told SkySports.
“I just thought we needed a fraction more belief in the final third. There were opportunities around the box where we could have got a shot off a bit quicker.
“That comes from certain types of player and personnel you have in.
“I thought the method in our game was good, and people who would have seen the game at the end of last season would have seen a difference today, hopefully.
The Northern Irishman believes they may have claimed the win if luck were on their side:
“We were unfortunate with the offside goal that was ruled out. I thought that was a goal having seen the replays of it.
“I’ll never say coming here is two points dropped because it’s a difficult place to come. Our performance level is continually improving. We’re just chipping away at climbing up the league, and we’ll do that.”