"Joel, we'll have to see. Klavan, shouldn't be too serious, but if Tuesday is too early I don't know yet," Klopp told the Liverpool Echo.
"Maybe we will do some magic things with the formation on Tuesday. I don't know how we will do it."
Croatia international Dejan Lovren will rejoin the squad on Monday after an extended break following the World Cup but is a doubt for the next two games.
"Dejan didn't train so far. He probably won't play Tuesday and Sunday will be very difficult as well," Klopp added. "The first two league games at least are in the 'pre-season' (for the World Cup players)."
Liverpool finished fourth last season and reached the final of the Champions League where they were beaten by Real Madrid.
"The league will be difficult," Klopp said. "It is not about judging our situation and thinking 'wow, really good'.
"We need to be ready each week, not only for a few games. That is our challenge."
(Reporting by Shrivathsa Sridhar in Bengaluru; editing by Amlan Chakraborty)
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