It was a low-key opening first half-hour, notable only for a decent reaction stop from Ian Lawlor - making his first league start in 21 months - as he pushed a Lamine Fanne attempt over the bar.
Rovers just couldn't get going down the other end and just before half-time the hosts went in front as the visitors concede from yet another set-piece. Luton skipper Kal Naismith headed home unmarked from a free-kick taken on Rovers' left. Just moments later the hosts had a golden chance to double their lead when Jamie Sterry clumsily bundled over Nahki Wells in the area. Wells then stepped up but saw Lawlor deny him with a terrific diving save to keep out his penalty.
The visitors, in truth, struggled to fashion anything close to an equaliser. A Glenn Middleton free-kick was charged down whilst Luke Molyneux fired a shot straight at Josh Keeley as the hosts held on.
Here's the Rovers player ratings from Kenilworth Road:
9. Luke Molyneux 5
A bad day at the office as he tried in vain to make stuff happen. A good bit of skill on the hour to dribble past some markers only for a shot to whistle wide. Missing that mojo right now. Photo: Craig Hawkhead / AHPIX LTD
10. Billy Sharp 5
Hardly got a look in with a dearth of touches - just 12 - in his 58 minutes on the pitch. Photo: Craig Hawkhead / AHPIX LTD
11. Glenn Middleton 6
Carded for a lunge on Morris first half in the incident that led to the opener. Put in a nice couple of whipped balls from the byline in the rare forays forward by Rovers. Photo: Andrew Roe/AHPIX LTD
12. Sean Grehan 5
On early doors in O'Riordan's place after he went off injured. Looked decent enough without properly being tested defensively. Photo: Howard Roe/AHPIX LTD