The dad claims he only said "a bit of banter" to Carragher, bringing up the 2-1 scoreline, before he spat at them, hitting his daughter's face, but the 40-year-old has a slightly different account.
Murphy believes Carragher - whose own duaghter is of a similar age - when he said he didn't know the girl was in the vehicle, but admits what he did was "despicable" nevertheless.
The former Liverpool and England defender, who is reported to be paid more than £1 million a year by the broadcaster, apologised on Sunday evening for the incident via Twitter.
JC: I've got a daughter exactly the same age and it's hard to find the words I'd use on how I'd react to that or what I'd say to that person if I ever bumped into that person or something. "For Christ's sake, he is supposed to be one of the top men", he told Talk Sport. "I wish I could go back and change it, obviously that's not the case". I've done that with the family, hopefully they accept that. "I hate that she was involved more than anything".
The revolting video where Carragher can be seen spitting mouthful of frustrated contempt was shot by the girl's father.
"Look, he's made a mistake but say that was me, I think my position should rightly be under fire and I think his will be".
I wrote about that tour a few years ago not to embarrass Carragher but to record how far he had come since his days as a wayward 19-year-old to develop into an excellent...
"[It was] a moment of madness, it is hard to explain". I mean the fact it is a young girl makes it feel slightly worse for me. "It's been something we all could have done without but all I can do now is apologise". They have been dragged into this media storm by myself because of my actions.
A Danish television channel has also made a decision to pull the ex-defender from its coverage of Man United's meeting with Sevilla at Old Trafford on Tuesday night.
As the Sky Sports pundit today met with TV bosses, the web was flooded with a series of amusing pictures and video poking fun at the star.
According to Satchell, Diouf rang Sky to slam Carragher for his behaviour on Saturday.