Txiki Begiristain, a Spaniard who has held the post since 2012, has already made his decision to leave the club, according to the same source.
The Athletic reports that Begiristain had already planned to leave Manchester City on his 55th birthday, but his commitment to the Citizens' project and working with Pep Guardiola has led him to extend the deadline until his 60th birthday.
In August this year, Begiristain will turn 60 and, as such, he will leave his post vacant.
It's worth remembering that five years ago the manager was close to stepping down, but ended up staying on in order to maintain his support for his compatriot and friend Pep Guardiola.
"He's a great friend and we've known each other for 25 or 30 years. He's very calm and that balance makes our work together perfect," Guardiola revealed in January.
Txiki Begiristain was a Spanish international striker who was Barcelona's sporting director from 2003 to 2010 and, in 2012, took over the same position at Manchester City.