Liverpool could sign Max Kruse and Yacine Brahimi for free in the summer (Image: GETTY)
However, Klopp will know his side needs strengthening if they are to challenge or overtake Pep Guardiola's all-conquering Manchester City next season.
A lack of cover up front has been exposed at times and while Divock Origi chipped in with crucial goals in the run-in, Daniel Sturridge looks to be on his way so a new striker will almost certainly be a priority.
Klopp has also been looking for a creative midfielder ever since Philippe Coutinho left for Barcelona in January 2018.
With that in mind, Express Sport looks at four players who could come in and have an impact on the squad without costing them a penny.
Kruse is leaving Werder Bremen after his contract expired (Image: GETTY)
Max Kruse
Versatile German forward Kruse is out of contract at Werder Bremen and a whole host of clubs are queuing up to sign him.
He can play across the frontline and chipped in with 11 Bundesliga goals and another nine assists in 2018-19.
At 31, he could be happy to come in as back-up to first-choice hitman Roberto Firmino and could provide cover on either flank or even as a number 10.
With 14 Germany caps to his name, Kruse has a decent pedigree and looks well-suited to English football.
He is an excellent crosser and loves to shoot from distance - qualities that have not gone unnoticed elsewhere.
Bayern Munich are also said to be considering a bid along with Bayer Leverkusen.
Brahimi deserves a chance to shine in one of Europe's top five leagues (Image: GETTY)
Yacine Brahimi
A supremely talented attacking midfielder, the fact he is 29 and yet to test himself in one of Europe’s top five leagues is baffling.
Now could be the time to change that as his contract at Porto is up and he is looking for a new challenge.
The Algeria international scored 10 goals as Porto narrowly missed out on the Portuguese league title last term after a hotly-contested race with Benfica that rivaled Liverpool’s tussle with City.
If Liverpool do not sign him, he is certain to get a big move elsewhere, although West Ham and Everton are also being linked and his capture would be a massive coup for either of them.
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Hector Herrera could add something to Liverpool's midfield (Image: GETTY)
Hector Herrera
Liverpool could do a lot worse than making it a double swoop for former Porto players by taking Mexican midfielder Herrera.
Klopp might have an embarrassment of riches in the middle of the park given the emergence of Fabinho and Naby Keita as bonafide Premier League stars.
But Adam Lallana appears to be on the verge of leaving the club and James Milner - out of contract but likely to extend his stay - is now 33.
Herrera, 29, would bring experience, power and class to an already-star-studded midfield.
He also has an eye for goal after netting nine times in 2018-19.
Tottenham and Arsenal have both been linked with a move and they might have a more urgent need to sign him.
But Liverpool could bolster there own ranks while denting the plans of one of their rivals by swopping in.
Adrien Rabiot has been frozen out at PSG (Image: GETTY)
Adrien Rabiot
Rarely does a player of Rabiot’s ability come on to the market for free.
There are, of course, questions surrounding his fitness after Paris Saint-Germain froze him out for the second half of the season after he refused to extend his deal so he could force a move in the summer.
The French midfielder was expected to join Barcelona but they have cooled their interest after signing Frenkie de Jong from Ajax and he will now be teh most in-demand free agent of the window.
His sky-high wage demands of around £175,000 per week could prove to be a stumbling block.
Even if they would save on a fee they run the risk of upsetting the dressing room as he would immediately become one of the club’s top earners.
Liverpool need only to look at Manchester United’s signing of Alexis Sanchez as proof of how that might work.
However, Rabiot is a serial winner with 14 major trophies to his name at the age of only 24 and if Klopp's squad lacksone thing it might just be players with a history of winning silverware.