The 23-year-old England international has recently been linked with a move away from Anfield, with AC Milan and West Ham said to be interested in a temporary switch
The newly-appointed Reds boss Brendan Rodgers is keen to move away from a 4-4-2 formation and revert to a free-flowing 4-3-3 set-up, a switch that would seemingly not suit the striker.
AC Milan have been linked recently, as have West Ham but Carroll's £80,000-a-week wages would appear to be a stumbling block for the Hammers, who are reported to be the striker's preferred option.
The 23-year-old is thought to be against a move abroad, however Liverpool are believed to prefer to see Carroll move to another division rather than a Premier League rival.
And 39% of those who polled want Liverpool to keep Carroll and use in him in the first team, despite talk that the Anfield outfit are chasing the signatures of fellow forwards Fabio Borini and Daniel Sturridge.
However, 22% of the votes fell in favour of a temporary switch for the striker, and 21% went further and opted for the club to cut their losses and sell the former Newcastle man altogether.
In a poll which was close throughout, a slightly smaller portion of our readers voted in favour of Carroll to be used in a bit-part role, with 16% opting for the impact substitute option.