"We are talking with PSG but at present nothing is final," Anton Maksimov told the Expressen newspaper on Tuesday.
"We're aiming to officially declare what Caroline's new club will be by the end of May," he added.
Expressen reported last month that both Seger, 29, and her Tyresö FC teammate Marta Vieira da Silva had caught the eye of the Paris club, which is already home to Swedish striker Kosovare Asllani. Seger and Asslani both play for the Swedish national team.
The name Seger means "victory" in Swedish.
"Seger is a good player and she has talents that would be useful in our team," Asllani told Expressen.
Sweden's Zlatan Ibrahimovic also plays for the club's men's team.