The former Liverpool and England defender was targeted repeated taunts following Liverpool's 2-1 defeat by Manchester United by the man driving the auto, the girl's father, who was also filming the incident at the time.
When the driver repeatedly mentioned the score, Carragher was heard saying, "All right", before spitting at the auto alongside his.
Carragher issued a tweet last night saying: 'Totally out of order & Ive apologised personally to all the family this evening.
"I shouldn't have done it but I was thinking - what is a grown man doing, carrying on like that two or three times with his daughter in the vehicle?" While he said that he was goaded three or four times while driving on the motorway, he said there were "no excuses" for his behaviour.
Byrne and Davidson's report supplied criticism from the teenager's mother, who said she was "extremely angry and disappointed" with the 40-year-old.More news: Meghan Markle Hugged A 10-Year-Old Aspiring Actress
Sky Sports have confirmed they will be discussing the incident with Carragher - describing the incident as "unacceptable".
"She was crying. She said, 'I'm embarrassed, he has just spat in my face".
Quoted by the newspaper after the video was released, Carragher said of the provocation: "It was a bit more than, "Hiya Jamie, it was 2-1".
Carragher is understood to have phoned the family on Sunday to apologise. It went on for two or three times. He was goaded yes, but there is no high ground that can be taken to defend him here. "I will apologise to the daughter".
Carragher is still expected to take up his role as pundit on Sky's Monday Night Football show for the Stoke v Manchester City game on Monday. I could not believe what had happened.