Pompey have not reached the fifth round of the Emirates FA Cup since 2010.
They ended up getting all the way to the final that year and Kenny Jackett is hoping to create more memories this season.
His side visit QPR in a Loftus Road replay on Tuesday evening, following a 1-1 draw on the south coast.
And with top-flight Watford travelling to the victors in the next stage, Jackett knows there is plenty of incentive to go through.
The Blues boss said: “It will be a tough test at Loftus Road, but it’s a game we’re all looking forward to and we’ll be doing everything we can to keep our cup run going.
“The motivation of Premier League opposition in the next round is very high and we’ve seen on occasion that we have genuine Championship quality.
"These are one-off situations and we want to progress if we can.”
“It was a very tight game last time and a draw was probably the fair result – there wasn’t a lot between the sides and I expect it to be the same again.
“Loftus Road is a tight ground with a passionate crowd, but we travel well and will take plenty of numbers once again.
“We’ve had good results and performances in the cup competitions lately, but lost some ground in the league.
“It’s frustrating to have picked up just one point from two games last week, but these are one-off situations and we want to progress if we can.”
Jackett spent his entire playing career with the Hornets, so it would be a personal highlight to face them.
He said: “Watford’s my hometown club – I was born and bred there, so of course it’s a carrot, but my focus, quite rightly, is on QPR and then Plymouth.
“But if we can get through – which is something we obviously want to do – then it’s a game to look forward to for me and my family.”
Pompey are waiting for information on Jack Whatmough, who went for a scan after coming off with a knee injury in Saturday’s draw with Doncaster.
Jackett said: “We wish Jack all the best and hope for good news – he’s in the best possible hands now.
“Dion Donohue got a nasty whack on his shin and it was bleeding quite heavily. He may have a chance for Saturday, but more realistically it will be the week after.
“We’re expecting Bryn Morris to be fit, which is good news, but Andy Cannon is a couple of weeks away and we’re waiting on news of Luke McGee.”