Carlisle boss Greg Abbott admitted Ebbsfleet had him worried during the FA Cup first-round tie at Brunton Park.
It took the Cumbrians until first-half injury time before they finally managed to break a stubborn visiting defence and two late goals flattered the League One side as they beat the Conference strugglers 4-2.
"You don't get walkovers at this stage of the FA Cup and I was worried right until the 90th minute," said Abbott.
"We were edgy and nervous, but the players worked hard and we played some good football at times. I'm just delighted with the result. It was not a perfect performance but we needed a win to end that depressing run we've been having."
David Symington put Carlisle ahead but substitute Nathan Elder pulled Fleet level before the Cumbrians ended the visitors' brave resistance with goals from Liam Noble, James Berrett and Joe Garner. Joe Howe rattled in an injury-time consolation for the non-leaguers.