The 57-year-old, who is the manager of the Netherlands, is set to join the La Liga runners-up this week.
When the former Barcelona player was asked if he wanted to return, he said: “I’d like to, but it’ll only be confirmed once I’ve signed the deal.
“Until then, I cannot say any more about it – even though I’d like to.”
Ronald Koeman played for the Catalan giants between 1989 and 1995, helping the club to four league titles and the European Cup.
His contract with the Dutch FA runs until the 2022 World Cup.
Barca parted company with sporting director Eric Abidal on Tuesday, one day after relieving head coach Quique Setien of his duties.
The dismissals come after the club’s humiliating 8-2 defeat by Bayern in the Champions League last eight on Friday.
Barca said: “The club would publicly like to thank Eric Abidal for his professionalism, commitment, dedication, and the close and positive nature of his relationship with all aspects of the Blaugrana [Barcelona] family.”