The successful coach has insisted that Bayern have yet to table a bid for the striker and added that there will soon be clarity over the Pole's future
One of the 24-year-old's agents, Cezary Kucharski, claimed that Lewandowski will leave BVB for Bayern in the summer transfer window after his other representative, Maik Barthel, previously stated that the striker has already agreed terms with another side.
Nevertheless, Klopp has stressed that a transfer to Bayern is by no means a done deal yet.
"We have not received an official offer from Bayern Munich as of yet, so I still expect Robert to play for Dortmund next season," Klopp was quoted as saying by Bild.
"We will make sure that all the speculation about his future ends in the next few days.
"I will not be angry with him regardless of what happens. I am looking at this professionally. We will see what happens. Everything's possible.
"The funny thing is that everybody acts as if it is already a done deal. Jupp Heynckes said so, his agents say so, yet we have not received an offer... What is that all about really? Regardless of the outcome, this is not exactly a nice thing."
Lewandowski's contract with Dortmund runs until June 2014, but the prolific attacker is desperate to leave the club this summer.
Aside form Bayern, he has also been linked with clubs such as Manchester United, Real Madrid and Juventus, but the Bundesliga champions are in pole position to sign the attacker.