Jurgen Klopp and Duncan Ferguson were involved in a fiery half-time spat during the Merseyside derby on Saturday.
Liverpool boss Klopp and Everton assistant manager were seen rowing on the sidelines following a first-half Liverpool penalty appeal.
Everton defender Seamus Coleman ended up stepping in to break up the pair as the argument threatened to boil over.
European football expert Julien Laurens was seated near the tunnel at Anfield and reported what was said.
According to Laurens the argument started after Klopp bellowed at the referee after his side were refused a penalty.
Ferguson was then seen smiling, and the Reds boss took exception.
Klopp then asked Ferguson: “Why are you laughing?”
That prompted Ferguson to respond with: “We are allowed to talk or is it just you, Jurgen?” which further darkened Klopp’s mood.
The 2-0 Everton win was their first at Anfield for 22 years. The defeat for the champions also meant a fourth consecutive home defeat for Liverpool – the first time this has happened in 98 years.
Coupled with Manchester City’s win at Arsenal on Sunday the champions are now 19 points behind the leaders Manchester City and face a fight to finish in the top four.
Klopp hurt by derby defeat
Asked how much he was hurting, Klopp said afterwards: “A lot, a lot. I don’t like to talk about the good parts of the game because we lost the game and we lost the derby.
“We could talk about this for an hour in detail and you would realise what you were talking about would be 90 per positive but 10 per cent was not and we have to change 10 per cent because it makes the difference result wise.
“We stand here having lost 2-0. I know how important it is. We feel it deep inside. But from tomorrow on I have to use all the good stuff. These good situations are the guarantee that we can change it but the decisive moments we have to change as well.”