Klopp suggested immediately after the match that his late decision to start Jota may have prompted Mané’s reaction.
The move paid off as Jota scored Liverpool’s equaliser, sparking their first win over their arch-rivals at Old Trafford since 2014.
The Liverpool boss does not expect any lingering fall-out from the incident as Liverpool try to secure a top four-finish in the Premier League.
“Do you want these things to happen? No,” he said. “But it’s not the first time in my life and I’m afraid to say it won’t be the last time.”
After failing to defend the Premier League title, Liverpool are trying to salvage a troubled season with Champions League qualification.
Fourth-placed Chelsea’s loss to Arsenal on Wednesday has opened the door for the Reds, who are four points behind with a game in hand.
With Chelsea playing third-placed Leicester next week, Liverpool will be almost certain of a top-four finish if they win their last three games against West Brom, Burnley and Crystal Palace.
“Most of the time I’ve been in a chasing role so if I’m enjoying it, I don’t know,” said Klopp. “Sometimes yes, but I’m used to it.
“Usually, when I’m involved, seasons go to the wire. Playing Thursday, Sunday, Wednesday, Sunday is a tough one, but let’s give it a try.”