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:
5. James Maxwell 6
Struggled defensively against Morris who was a real handful for him first half but recovered after that and put in some good challenges. Photo: Howard Roe/ahpix.com
6. Owen Bailey 5
Not much involvement first half and then asked to play slightly further forward after Close's introduction. A dip in performance from the captain from the highs of recent weeks. Photo: Howard Roe/ahpix.com
7. George Broadbent 5
Couldn't dictate the game as he'd have liked, although he put in some good tackles in the engine room. One of many not quite 'at it'. Photo: Howard Roe/ahpix.com
8. Robbie Gotts 5
A quiet showing first half, and had ball stolen off him twice which perhaps contributed to half-time hauling. Photo: Andrew Roe/AHPIX LTD