The Reds advanced to the quarter-final stage of Europe's premier club competition with a 4-0 aggregate victory in the last-16 tie thanks to goals from Mohamed Salah and Sadio Mane in Budapest.
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It was a welcome return to winning ways for Jürgen Klopp's side and Thiago hopes they can now carry that momentum into Monday's Premier League fixture at Wolverhampton Wanderers.
Speaking to Liverpoolfc.com post-match in Hungary, the midfielder said: "It's like a positive injection to our morale.
"I think we deserve to celebrate and to be happy with something, and from now on have this feeling that we have right now.