Jordan Rhodes' late strike meant a second point earned on their travels this season, but the Rovers boss still found lost to work on.
"You debrief the game and there are areas of the game where we felt we could have done better," said Bowyer.
"But that said, Tom Heaton has made the save of the game, not our goalkeeper, and we've have 12 corners away from home.
"So there are lots of positive aspects of the game to take away, knowing that we can still improve.
"We felt we could have been better with the ball, the stats show that as well in terms of the possession.
"The occasion could have been intimidating initially because I felt we grew into the game, that was one area that we spoke about.
"Then obviously you always look at ways in which you can prevent opportunities for the opposition.
"Jake had that double save in the first half but after that he wasn't really called upon to make many more saves, whereas their goalkeeper has made the save of the game.
"The experience for the squad, at the average age of 22, is pleasing for us and now we've got to kick on again and take the challenge that Leicester present."
Supporters who are planning to watch Rovers take on Leicester City on Tuesday evening should allow extra travelling time.
Roadworks in Leicester city centre and in particular near the King Power Stadium has lead to heavy matchday delays so Rovers fans should set off in plenty of time to make the 7.45pm kick-off.
Tickets are still on sale for Tuesday's match with advance purchase tickets going off sale at Ewood on Monday.
Advance purchase prices are £28.00 Adults, £25.00 Senior Citizens aged over 65, £25.00 Under 22s, £18.00 Under 18s, £9.00 Under 12s and £7.00 Under 8s.
Tickets will be on sale on the day of the game from the King Power Stadium but supporters should note that prices will rise by £2 on matchday.