The Brewers, currently third in League Two, equalled a club record eight successive home wins and made it four victories on the bounce for the first time as a Football League club.
But Rowett confessed: "I was a bit worried about this one and seriously thought about making a few changes. In the end that was difficult because we've been in such good form and winning games, so I decided to go with the same team.
"I was a little bit edgy and thought we might lack our usual energy, but as it was we stuck at our game great up until the 80th minute. They made it a little bit of a squeaky bum time with the two late goals, but up to that point we were terrific.
"We possibly just stopped doing the things that got us 3-0 up and needed to be just a little bit more ruthless. We gave a silly goal away and that gave Morecambe a chance, but I'm not complaining too much because we saw the game out to continue our phenomenal run of results."
Jacques Maghoma grabbed his 14th goal of the season to put Burton ahead in the 17th minute when he pounced to stab home a loose ball after a Robbie Weir shot had been parried by Barry Roche.
Burton doubled their lead in first-half added time when Billy Kee popped up with a close-range header after a Michael Symes shot looped up off Roche. Kee doubled his tally in the 49th minute by lashing in a 12-yard volley set up by Symes.
Jack Redshaw pulled a goal back for the visitors from the penalty spot 10 minutes from the end after Chris Holroyd had been dragged to the floor by Damien McCrory. The Burton full-back was then caught out again as Holroyd rifled home Morecambe's second goal in added time but it was ultimately too little, too late.
Morecambe boss Jim Bentley said: "You've got to give Burton credit because they're scoring goals and winning games, but we played into their hands at times. Defensively we weren't great and we certainly didn't cover ourselves in glory in that respect.
"We had chances but I'm disappointed at the way their goals came. We changed things around and got ourselves back in it. It's just a pity the game didn't last five minutes longer because I think we might have got a point out of it."