The striker is continuing to struggle at Anfield under Jurgen Klopp.
The Belgian striker has struggled to make his mark at Anfield this season, following a high-profile move from Aston Villa in the summer.
He has found himself out of favour under manager Jurgen Klopp, with Roberto Firmino preferred in a striking role in the Premier League in recent weeks.
Instead Benteke has found himself playing in both FA Cup ties with Exeter, in which Klopp fielded a mostly young, inexperienced side, and Nevin says that may force the forward to seek an exit from the club.
“It [playing with the kids] probably makes him get out his diary and see how many days are left of the transfer window,” he told BBC Radio 5 Live.
“It seems quite clear he’s being used as an impact player for Liverpool, he must think to himself ‘what do I do’.”
“It just underlines the fact he’s not a Klopp style player.”
There is no denying that Benteke does appear to be heading towards the exit door at Anfield at some point.
He seems ill fitted to Jurgen Klopp’s system, with the German’s high pressing, high energy game a stark contrast to the style that saw the striker thrive at Aston Villa.
An exit in January seems unlikely though, the Reds unlikely to be able to replace him in the two weeks remaining of the transfer window.
Instead a summer move would be preferable for Jurgen Klopp’s side, with them able to continue using Benteke as a back up option while they assess their options.