In a video of the incident, the teenager's Manchester United-supporting father repeatedly mentioned the scoreline in United's 2-1 victory over Liverpool, and Carragher is heard to say, "Alright", before spitting at the auto.
In a video of the incident, the teenager's father repeatedly mentioned Saturday's score - Liverpool lost 2-1 - before Carragher spat. The girl then wound down her window before her father shouted "Unlucky Jamie lad".
Speaking to Alan Brazil on talkSPORT radio, Jones said: "It is cowardly". I've done that with the family, hopefully they accept that.
Carragher says he was "goaded" but also admitted he was "totally out of order" and has apologised to the family.
"There are loads of regrets but for a 14-year-old girl to be caught up, it devastates me more than anything else".
"I would have been suspended and I certainly wouldn't expect to be on television again".
"It does not look good", Peter Nørrelund, Danish Executive Director of MTG Sports, the parent company of TV3 Sport said of the incident.
"I was extremely angry and disappointed that he could even bring himself to do something like that".
"No excuses he's made a big mistake", Neville wrote on Twitter. "Especially the young 14-year-old daughter".
After Carragher was suspended from his role, he was asked what happens next. "That is Sky's decision, not my decision", he said.
"I think they're going through the old moral wringing their hands, putting him on new shows, Jamie's apologised very, very well - as he should".