It was a performance full of attacking verve and produced a deserved victory for Pompey.
John Marquis gave them the lead at Lincoln after just five minutes and there was only going to be one winner from that point.
The only surprise was that the Blues were limited to three goals, with Marquis netting again after the break and Ronan Curtis also finding the target before Tom Hopper grabbed an Imps consolation.
And Joe Gallen was delighted with the way they were able to continue their fine run of form on the road.
Pompey’s assistant manager said: “A lot of things went right for us and we seem to be scoring a lot of early goals in our away games this season.
“That always gives you confidence and a platform to get the win – which we wanted and needed after Saturday.
“There’s a real determination and desire in this squad to put things right when games don’t quite go our way.
"The spirit in the team over the past few weeks has probably been the best since Kenny and I have been at the club."
“We were looking to bounce back quickly and I have to say the boys were fantastic. It was a very pleasing performance.
“Scoring three goals was nice, but it could have been more. It’s just a shame that we couldn’t keep a clean sheet because it’s what our keeper and defenders deserved.
“Their attitude was very good, but so was their football and their passing, so they deserve a lot of credit for that.
“The spirit in the team over the past few weeks has probably been the best since Kenny and I have been at the club.
“Now we also need to start picking up some more points from our home fixtures when they come around again.”
Pompey had been dealt a blow just before kick-off, with Lee Brown forced to come out of the team and be replaced by Cam Pring.
“I don’t think he liked my warm-up,” Gallen joked. “I’d say he’s pulled his hamstring, which is perhaps down to an accumulation of games and a lot of travelling.
“I’m sure there will be a scan in the next few days to determine the grading and how bad the injury is.
“But we’ve got good players who have been on the bench for us, with Cam and Rasmus both proving that.
“Tom Naylor was complaining of cramp late on and said he couldn’t move. It’s unusual for him to come off.”