However, the Reds icon acknowledges that the 23-year-old has come a long way since then - and he even believes the Swansea man could be in line for a call-up to Roy Hodgson's England squad if he produces another impressive performance against Sunderland this weekend.
Carragher told the Mail: "Jonjo was someone who could overstep the mark from time to time in training at Liverpool but he can certainly play and the one thing I like about him is the fact he has confidence to try things.
"He will always look to get on the ball and keep pushing his team forward and he is feeling the benefit from playing every week at the Liberty Stadium. Swansea travel to Sunderland and another good performance might just seal his place in Hodgson’s plans for next month."
No Liverpool fan will need reminding of the 23-year-old's antics at Anfield. But he appears to have come a long way since, shining at Swansea and letting the talent that got him to Merseyside do the talking - instead of the rash tackles or shots into Row Z.
Whether Shelvey has what it takes to consistently produce for a club that are aiming for the top six or higher is another issue, of course. Although we may well find out if Swansea remain as impressive this season as they have been so far.
As Carragher suggests, though, it didn't quite work out for Shelvey at Liverpool - and his immaturity had a lot to do with that at the time.