The Telegraph reports that there are "serious concerns" among the Stamford Bridge hierarchy that bringing Jose Mourinho back would be a mistake, despite the fact that the Portuguese boss is said to be lobbying for a return.
And with Pep Guardiola having chosen Bayern Munich for his next job, that leaves Klopp as Chelsea's "key target" with the Blues determined to make a fresh approach.
That's despite the fact that he rebuffed their approaches last year, has since signed a new deal with Dortmund that runs until 2016 and is considered a shoo-in to take over as Germany coach when Joachim Loew moves on. Short of him publicly wearing a t-shirt declaring that "Roman Abramovich is a nincompoop" we're not really sure how much more he could do to signal his total lack of interest in the job.
In short, don't put your shirt on the Telegraph's story coming to anything. It's almost certainly a load of old Klopptrap, and the paper even hedges its bets by tossing in the names of David Moyes and Manuel Pellegrini as more likely contenders.
As for Rafa Benitez? Far from being a contender to take the job permanently, there are said to be "serious questions now being raised as to whether (he) can last in his role as interim manager until the end of the season".
Another club set to replace a controversial manager is Swindon: Paolo Di Canio will likely be fired because he's too expensive to employ, according to a report.
The Daily Mirror claims that Swindon's new owner-in-waiting Jed McCrory - who is expected to take over the club in the next 48 hours - will fire the Italian despite a run of good results that has seen the side climb to third place in League One.
Di Canio got Swindon promoted from League Two in his first season in charge, has taken them on a League Cup run this season which included a victory against top-flight Stoke and recently paid out £30,000 of his own money to keep a trio of on-loan players at the club.
But money is money, and McCrory is said to want to bring in a management team of Brian Stein and Mike Newell.
Most of the back pages lead with material from the England v Brazil press conferences, with the Sun making a lot of Steven Gerrard's comments that Jack Wilshere is "scary", "world class" and that "he’s got the potential to become one of the best players in the world".
Ashley Cole, meanwhile, is the subject of the Daily Star's back page: "I don't care if you all hate me" runs the headline next to a photo of the much-vilified left-back on the morning of his 100th appearance for his country. The actual quotes - from an interview he gave to England's sponsors - were less pithy than that line, however: "I don’t want to sit here and keep going on about wanting to be loved. I am here to play football. That is all I want to do," he said.
The Sun reports that West Ham have found a replacement for Andy Carroll, whose loan deal at Upton Park expires at the end of the season: Ivory Coast striker Wilfried Bony.
Bony, who would cost £12m, has netted 16 goals in 18 league matches this season with Vitesse Arnhem. Carroll, who would cost £17m to keep, has two goals in 12 matches for West Ham.
Where would that leave Carroll? Possibly back at Newcastle if The Guardian is to be believed. The paper claims that Liverpool will make a summer bid for Newcastle's Hatem Ben Arfa, and that the Magpies will use the deal to engineer the return of the striker they sold to the Reds for £35m two years ago.
And finally, several of the papers run big stories about Brazil coach and former Chelsea manager Phil Scolari, who said that "it hurt a lot" when he refused the job managing the England national team in 2006 and that he "would have loved" to do the job had circumstances been different.
He even talked up the possibility that he could one day take the reins: "“I can’t imagine any reason why I shouldn’t be given a second chance to be national team coach," he said. "You never know what might happen."
All very nice of him, but we can't help thinking that it's a bit like a guy turning up to visit in a Ferrari, and making patronisingly nice comments about your Ford Mondeo and insisting that he very nearly bought one a few years ago.