The former defender also believes the Belgian hasn't had the service he would want at Anfield yet.
The striker was a big-money purchase from Aston Villa this summer, with him being tasked with scoring the goals that Liverpool were so sorely missing last season in the absence of Luis Suarez and Daniel Sturridge.
He has made a decent start to his Liverpool career, with a winning goal against Bournemouth on his Anfield debut having gone a way towards winning over the Reds faithful.
And, despite looking lively thus far, Carragher says a lot more is to come - and that that will be down to the team's attacking players.
"He has got the goal now but now we need to see a lot more from him," he told Sky Sports.
"That's not about Benteke that's more about Liverpool's attacking players getting better and the team playing better and using him a lot more and using his qualities more."
Benteke hasn't had the service he would like yet
The jury is still out on whether Benteke will be a big hit at Liverpool, with the arguments firmly split down the middle.
On one side of the debate, it has been suggested he does not fit into their style of play, with previous club Aston Villa having utilised a long-ball game full of crosses to make use of his strengths.
On the other hand, it has been suggested the Belgian will flourish under Brendan Rodgers' passing style as he has more to offer than what has been shown so far.
The Liverpool squad are naturally getting accustomed to their new forward and Carragher says he hasn’t had the service he would like just yet.
"I don't think he has had the service he would quite like in those first two games," he added.
"I think hopefully that will come in the coming months when they get used to Benteke's play but I think when they have used him he has been very neat and tidy in possession and always held the ball up well."