Carroll is now in full-scale training at West Ham after recovering from a heel injury.
Bonds was recently awarded the club's inaugural Lifetime Achievement Award and said: "I came along and saw the first game of the season. I saw nothing in that game against Cardiff which suggested that staying up wasn't achievable this season.
"Since then results haven't gone as well but we know what's gone wrong - it's a shortage up front, really.
"Sam [Allardyce, above] set his side out to be tough to beat and they've kept a lot of clean sheets this year.
"When Andy Carroll was in the side he was a real threat, people didn't even like to mark him. Even when Andy's back fit, though, you have to get someone else in because he's a big lad and when you come back from a long injury like that there is every chance he could get another one."
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