Wijnaldum insists that winning the Champions League will help the Reds end their 30-year wait for a domestic title.
He said: “Winning the Champions League has given us all peace of mind. Now we know what it's like to win the biggest trophy of them all – and we just want to keep going from here and add even more titles.
"But Jurgen Klopp is not putting extreme pressure on us to win the Premier League. He does not tell us, 'Now you must win this or that trophy'. He is very relaxed.
“He did not do that during the past season, either. His idea is that we get the maximum out of every individual every single day that we are together. And then we will see where that brings us at the end of the season.
“Just look at the list of world-class players who have not won the Champions League during their careers. It contains more famous names than you would think – and it tells you that it is really special we have won it with Liverpool."