Steve Cotterill insisted his patched-up Pompey were well worth their impressive Turf Moor point.
The Blues drew 1-1 against the play-off hopefuls yesterday to maintaining their unbeaten run over the Easter holiday programme.
Pompey were dreaming of a surprise victory following David Nugent’s stunning 57th-minute strike.
Chris Eagles’ equalised 14 minutes from time – but the visitors could have snatched the win at the death had Nugent capitalised on a one-on-one situation.
Still, it was a spirited showing from Pompey, who again possessed just four substitutes, while Ritchie de Laet and Aaron Mokoena passed late fitness tests.
And Cotterill, who was returning to the club he once managed, was delighted with their showing.
He said: ‘I think, for sure, we merited a draw and could have won it at the end.
‘I thought we were the better team in the first half, in the ascendancy.
‘And with Burnley attacking that slope in the second half, I knew that was going to come – the lads were warned about that. If we’d had a bit more energy and a couple more subs who we could have put on who were forward thinking, we might have won.
‘But probably, with the pressure Burnley had in the second half, we could feel there was a goal coming.
‘Burnley is a tough place to come and get a result – I know that only too well.
‘We’ve just come back off a game against Swansea, who are a good team.
‘Over Easter there will not be too many teams that have had two such tough games as we’ve had.
‘Swansea and Burnley – they don’t come much tougher than those two – especially with a pitiful amount of players.’
Cotterill’s side also collected their point without injured duo Dave Kitson and Liam Lawrence available.
In addition, defensive lynch-pin Ricardo Rocha is suspended for the rest of the season following his Cardiff red card.
As a result, Kanu was granted a rare start, with the veteran completing the full 90 minutes.
And the Blues boss was left to contemplate what could have been if some of the absentees had been in his side at Turf Moor.
‘We had no Kitson and no Lawrence – imagine if we could have brought them in? We might have had that bit of quality and won the game,’ added Cotterill.
‘Then there was Kanu playing 90 minutes after doing what he did the other day.
‘There was a fitness test yesterday morning between Ritchie de Laet and Aaron Mokoena and they both made it.
‘If they hadn’t we would have had a goalkeeper and Nadir Ciftci on the bench – just two of them.’