The source said a preliminary investigation was opened after two complaints were filed against Mr. Ramadan, a well-known figure in the Middle East.
He also took a leave of absence from the University of Oxford. The Paris judicial office has confirmed that two separate lawsuits were filed against Ramadan.
"He choked me so hard that I thought I was going to die", she added.
Ramadan, a professor of contemporary Islamic studies at Oxford University, is popular among conservative Muslims.
Islamic scholar Tariq Ramadan has had multiple rape allegations made against him since November, and was suspended by the world's top university as a result.
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"It was the #BalanceTonPorc campaign that pushed me to reveal his name", she told the Parisien newspaper previous year, in reference to France's version of the hashtag which means "Expose your pig".
The writer and activist had described the attack in a 2016 book without naming Ramadan as the alleged attacker. I got scared and kept quiet all this time.
Another woman, who has not been named publicly, has accused him of raping her in a hotel in Lyon in 2009.
Ramadan lambasted French media, claiming they falsely reported on his situation, and asserted that the accusations against him are part of a "campaign of lies launched by my adversaries".
In retaliation, Ramadan has filed a case of defamation against the woman, with his lawyer saying the professor "categorically rejects all these false allegations".