Pompey’s play-off hopes appeared to have ended following a home defeat to Charlton last Saturday.
But Kenny Jackett insists that his side will not give up on a top six berth while it remains a mathematical possibility.
They must win at Bury this weekend and then see off Peterborough seven days later to be in with a shout, while also hoping results elsewhere work in their favour.
Even if that proves futile, however, Jackett still wants his side to finish the 2018/19 campaign on a high.
The Blues boss said: “We’ve two games left and we’re where we have been for the majority of this season – a few agonising points from the play-offs.
“So we’ve got to make sure we remain professional and do our job. If things do open up for us and an opportunity arrives, then we have to win our game.
"“I want to see an enthusiastic and quality performance from my side because there might be a slight chance for us."
“Our focus, quite rightly, will be on facing Bury and trying beat them – if that takes us there or if we’re left working for next season, it doesn’t matter.
“I want to see an enthusiastic and quality performance from my side because there might be a slight chance for us.
“If we can’t get into the top six then we still want to finish the campaign in a positive manner ahead of the next one.”
Pompey’s opponents saw their relegation from League One confirmed a fortnight ago, although they have drawn their past two fixtures.
Jackett said: “Bury have put some younger players in recently and got some good results. The mentality can change slightly when you know your fate.
“They’ll be thinking about the reasons why they are where they are, but our only focus is on trying to return to winning ways.
“A lot of supporters are going up to back us and we have to show appreciation by proving our commitment.”
Jack Whatmough and Anton Walkes are both still sidelined for Pompey, although Nathan Thompson could play after going off against Charlton with a dead leg.
Jackett said: “He’s okay. He was back out training on Thursday morning and is fit and available to feature on Saturday.”