"Our leadership is very engaged in the situation there," Kovac said, according to the Guardian's Fabrizio Romano. "I'm confident and assume that we will get him."
However, the 23-year-old Sane has yet to decide if he wants to join Bayern, according to Romano.
Meanwhile, City manager Pep Guardiola recently claimed that his side is eager to keep Sane after offering him a contract extension, but added that the final decision belongs to the German international.
On the same day, Kovac told reporters that Bayern were "working very hard" to sign the former Schalke player.
Uncertainty over Sane's future has persisted since the 2018-19 campaign concluded.
Just over a week after City won the FA Cup final in May, Bayern launched an €80-million (£72 million) bid to sign the attacker, which was quickly rejected by the Premier League champions
Sane, who joined City in 2016 for a fee reportedly worth €41 million (£37 million), scored 10 goals and provided 10 assists in 31 Premier League appearances last season.