The Scot felt his side controlled the game throughout and does not place any blame on David Dunn, who saw his penalty saved by Tim Krul in the first half
An own goal from Scott Dann and a injury-time Gabriel Obertan strike sealed the win for Newcastle who rise to fifth in the Premier League, but Kean felt his side should have got something out of the game.
Rovers had the majority of possession and created more openings than the visitors but lacked the fire power to get themselves back into the game, and also came up against an unbeatable Tim Krul in the Magpies goal.
“I felt we didn’t really start the game well,” he said.
“But after the deflected goal we controlled the last 30 minutes of first half.
“So in that respect we were happy, but we just felt we snatched at chances and didn’t show enough composure in front of goal.”
The game’s opening goal came in the 12th minute when Radoslav Petrovic lost possession inside his own half, the visitors moved the ball inside from the left wing and Ryan Taylor fired a speculative effort towards goal from 30 yards. It looked like it would be an easy save for Rovers keeper Paul Robinson but the ball deflected off Dann on the edge of the penalty area and flew into the back of the net.
Rovers pressed for a way back into the game and were gifted a chance in the closing minutes of the first half when they were awarded a penalty for a foul by Danny Simpson on debutant Anthony Modeste. The decision looked harsh on the visitors but Tim Krul’s save from David Dunn's spot kick kept Newcastle ahead at the break.
“It’s a shot that may be on target and Scott’s thrown his leg at it” said Kean.
“The penalty is tough, David’s disappointed but he showed enough character to take it.
“The keeper had a lot of good saves, so I wouldn’t blame my players at all.”
The home side played the second half on the attack and saw chances from substitute Mauro Formica and two from Modeste spurned, and as Rovers searched for an equaliser they were caught on the counter attack by the visitors after Obertan broke free and calmly fired underneath Robinson to seal the points.
“We’ve controlled the game,” he said.
“The boys are gutted, they are thinking ‘how did we not get a point’.
“But we didn’t and we’ve got to pick the bones out of it and go and get something out of the Arsenal game.
“Anthony [Modeste] has done well on his debut, [he was] unlucky not to get a goal but each time a chance fell to him I think he was trying a little bit too hard.
“He showed he’s going to add something to our squad.”