"It was overwhelming. I would say it's impossible", said Klopp, amid wild celebrations at the final whistle when his team stood in front of their famous Kop stand to sing "You'll Never Walk Alone" with fans.
"We can't really comment until I get the scan, but I'll be saying my prayers tonight".
They will face Dutch club Ajax or England's Tottenham Hotspur at Wanda Metropolitano stadium.
Jose Mourinho believes Liverpool's memorable Champions League comeback against Barcelona was down to manager Jurgen Klopp as he lavished the German in praise.
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Liverpool went ahead on the night after just seven minutes courtesy of a strike from Divock Origi. Wijnaldum came on to replace Robertson and his intervention ended up being crucial in the second half.
The Liverpool players faced a 3-0 deficit against Barcelona from the first leg of the Champions League semifinals.
Turning in Trent Alexander-Arnold's cross in the 54th minute, Wijnaldum put Liverpool two up before rising highest to head in Xherdan Shaqiri's cross two minutes later.
In the last five seasons alone, Barca had lost knockout games on the road to Roma, Paris Saint-Germain, Juventus, Atletico Madrid and Bayern Munich.
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It was Barcelona's second Champions League collapse in consecutive seasons. Barca won their last European Cup in 2015 following a 3-1 win over Juventus in Berlin.
Messi, whose two goals in the first leg had given his team a seemingly comfortable advantage, was unable to make his influence on the game count with an away goal that would have been decisive.
But it was a sublime set-piece of Liverpool's own that settled the tie in their favour - Alexander-Arnold's quick thinking catching Barcelona unaware and teeing up Origi to hammer in the most priceless goal of the season.
"The most hurtful thing is to repeat it", said Valverde, who may struggle to hold onto his job despite winning two La Liga titles as Barca boss.
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