Niall Ennis - a former Rovers loanee - prodded wide for Blackpool in the opening exchanges.
The hosts then fashioned their first chance as Neill Byrne saw an acrobatic effort tipped over by Bailey Peacock-Farrell. But the Blackpool stopper was powerless to prevent Rovers taking the lead, not long after. Robbie Gotts recycled a free-kick and swung in a cross that was powered home by the head of skipper Owen Bailey.
The second half, much like the first, was a largely quiet affair with chances at a premium. Luke Molyneux drew a decent save from Peacock-Farrell and then Blackpool gave the hosts a scare when sub Josh Bowler smacked a post from distance.
Rovers doubled their lead when sub Hakeeb Adelakun fired home from inside the area. There was a late scare though when another sub, Ashley Fletcher, prodded home to halve the deficit. Blackpool then went down to ten men when Fraser Horsfall received a second yellow for a cynical trip on Molyneux. Thankfully, the hosts saw it out as they moved on to 43 points - five clear of the relegation zone.
Here's how we rated the Rovers players today:
1. Zander Clark 6
A mostly stress-free afternoon for the big Scot. Saw a second half chance that hit his post and then powerless to prevent Fletcher's close-range prod late on. Photo: Bruce Rollinson/AHPIX LTD
2. Jamie Sterry 6
Minimal involvement with barely anything threatening his flank from a defensive point of view. Steady day at the office. Photo: Craig Hawkhead / AHPIX LTD
3. Matty Pearson 7
Good, solid bunch of headers and a big batch of clearances as he built on Tuesday's impressive showing against Luton. Photo: Howard Roe/AHPIX LTD
4. Neill Byrne 7
Came close with an acrobatic effort at goal in the first half. Defensively was sound and good aerially. Was lucky to escape a possible penalty after grappling with a Blackpool player second half. Photo: Craig Hawkhead / AHPIX LTD