Klopp will pit his wits against Mourinho on Saturday (12.30pm) when Liverpool host United at Anfield.
Liverpool have made a dismal start to the season and they are currently seven points adrift of the early pace setters United and Manchester City in the Premier League table.
Klopp has constantly had to field questions about the state of his side’s defence.
And while acknowledging the work Mourinho has done, Fowler insists he would be better suited to Klopp’s style.
“If Jose Mourinho was Liverpool manager, of course I would have played for him,” Fowler told the Daily Mail.
“I do like the way he looks after the players. He backs them up.
“He’s been an unbelievably successful manager.
“But I think Jurgen Klopp is an exceptional manager. He’s got everything you’d want as a player to play under.
“His man-management skills are exceptional. He’s tactically very good, technically very good, and I’m a massive believer in the man-management side of football clubs, because I think he’ll bring the best out of players.
“Klopp’s attacking style would have more of a sway.
“Certainly in terms of formations, the tactics that Jose uses at times — the one up front — would not be ideal for me.”