The former Liverpool defender has been highly impressed with the attacking midfielder's performances over recent weeks.
Coutinho recently signed a new long-term contract with the Reds, which will see him tied to the club until at least 2020.
Now, Sky Sports pundit Carragher has hailed the Brazilian’s recent performances for Brendan Rodgers side, but would like to see him scoring more for the club.
He currently has two goals and four assists this season for Champions League-chasing Liverpool, with his manager saying that he isn’t concerned about his goal-scoring prowess so long as he continues to rack up assists instead.
Carragher, however, has a different opinion.
“The form Coutinho has been in is outstanding,” Carragher said.
“[He’s] not just one of the best players at Liverpool but in the league over the five or six weeks, he’s just got to add more goals. His assist record is very good, but he just needs to get on the score sheet a little bit more to take his game to the next level.”
The former defender believes that the return of Daniel Sturridge and the penetrating runs he makes will help to improve Coutinho’s record in both aspects, something which was evident in the 2-0 win over West Ham United when the Brazilian set up Sturridge for the second.
However, he admits that Rodgers may also have a selection problem on his hands with the return of the England striker, with one of Lallana, Coutinho or Sterling likely to be replaced by their star forward.
“Maybe he [Rodgers] has a selection problem with Sturridge coming back,” added Carragher.
“[Normally] you’d see Raheem Sterling dropping into one of those positions [behind the striker] but he [Coutinho] has been in outstanding form, especially since the manager changed the system and went to three at the back and two players behind the striker.”