Jackett salutes roaring Pompey fans
The nine-man Blues held on for a 2-2 draw after keeper Stephen Henderson was forced off with injury - despite all three substitutes being used.
Then Christian Burgess was dismissed in stoppage time for a second yellow card for handball.
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Hide AdWith Kal Naismith between the sticks, Pompey dug in for a share of the spoils, although it means they are still winless in 2018.
Jackett was pleased with his team's battling qualities - but frustrated with elements of their play at both ends of the pitch.
He said: 'The fans were excellent at the end and really drove the players on.
'The players did well to keep the majority of the ball away from Naismith.
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Hide Ad'They ran their hearts out, so I'm really pleased with them from that situation.
'But up to then there was a winning situation for us, so I'm slightly frustrated.
'They are poor goals that we're giving away and the final ball at times wasn't there.
'So that is disappointing from a game we had as much control of as any for a while.'