A title charge at Anfield this season has also fizzled out, but Klopp's men have recovered late in the season and will guarantee a Champions League return with a win on the last day of the season at home to relegated Middlesbrough.
The German explained: "If you look back over the last ten years, even from the outside, Liverpool always looked like a massive club". If you give them the opportunity they will play football as they have good players, quick wingers and very experienced striker.
"The Champions League, for different reasons, is a wonderful competition", said Klopp yesterday.
Klopp knows it's vital his side do not fall at the final hurdle in their bid to make the top four and wants them to start the game strongly.
If this happens, Liverpool will need to replace the 24 year old player in record time - and this would be Asensio's future role in the team if he accepts.
I'd like to think that Liverpool will opt for another attacking lineup like we saw in the 4-0 win over West Ham, but Klopp is a big fan of the 4-3-3 which we have seen more often than not this season.
"It's ideal that we can involve Steven...what a guy, he's fantastic".
However, he believes the historical "power and size" of the club has been enhanced by the success of this campaign and the vibe he has got from enquiries already made for potential signings is more positive than this time a year ago. So you have to make better decisions. "Because when you join a club you have a big responsibility for the future, and the future of this club needs legends like Steven Gerrard in decisive positions", Klopp said. That's not a problem after this long season. The bookies say that Asensio's odds of signing up to play with Liverpool next are a whopping 3/1 - signalling that it may just be a matter of time before the Reds get their wish. "We will make a final test tomorrow", said Klopp. "I decided that PSG is the best club for me at the moment".
Club captain Jordan Henderson remains sidelined.
The elated Nigeria global took to Instagram to express his excitement after Alexis Sanchez's brace ensured Arsenal's fight for Champions League spot stay alive.
"Three teams have to go down, this year Middlesbrough's one of them".
"We have to defend well, we have to be good organisationally, we have to create chances and we have to score goals".