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:
9. Glenn Middleton 6
OK showing and played his part in the Bailey goal. Maybe could have tested his marker a little more. Replaced by Adelakun for the last knockings. Photo: Howard Roe/AHPIX LTD
10. Elliot Lee 6
Much more involved than on Tuesday. Won a couple of fouls in important places and tried to make a nuisance of himself. Subbed off just after the hour. Photo: Bruce Rollinson/AHPIX LTD
11. Brandon Hanlan 7
Another showing full of battles with centre-halves although he didn't get the rub of the green with most decisions. Battled well until his late withdrawal. Photo: Howard Roe/AHPIX LTD
12. Harry Clifton 6
Added plenty of purpose when he came on for Lee just after the hour mark. Photo: Howard Roe/AHPIX LTD