Dover qualified for the FA Cup First Round Proper, but needed two late goals to put their name in Monday night’s draw.
Hosts Weymouth had gone ahead late on when Jake McCarthy found the bottom corner, but Whites hit back through Jai Reason’s fine finish and sealed the win when Anthony Jeffrey blasted in Will De Havilland’s knock-down after home stopper Calum Ward dropped the ball into the substitute’s path.
Earlier, Whites were almost behind when Josh McQuoid went for a spectacular lob and though visiting stopper Yusuf Mersin was beaten, the woodwork was not as the ball bounced off the crossbar with Abdulai Baggie skewing the rebound wide.
Calvin Brooks latched onto Bobby-Joe-Taylor’s weak clearance, but smashed wide of the mark.
Mersin then stood strong as the Turkish goalkeeper denied Ben Thomson at his near post.
Inih Effiong then blasted inches the wrong side of the bottom corner and following the restart, Nassim L’Ghoul stung the palms of Ward from distance.
The Frenchman then went even closer moments later after Effiong found him in the box, however skied his volley from five yards.
McCarthy went for glory with a 30-yard free-kick, however Mersin was equal to his effort.
Zubar and Passley both went close at either end with headers, however, it was the home side that went ahead with 12 minutes remaining.
McCarthy appeared to have been taken too wide, but cut back inside and drilled the ball into bottom corner.
However the lead did not last and Reason fired the visitors level from the edge of the area four minutes later.
And Whites won in with 60 seconds of normal time to spare when Jeffrey blasted his side into the First Round Proper.
Earlier boss Hessenthaler made six changes to the side that started the 4-0 defeat at Aldershot 11 days previous. Mersin, De Havilland and Modeste came in with Rooney, Bedford and Mersin making their competitive debuts.
DOVER ATHLETIC REACTION