The Reds loaned the striker to the Hammers back in August, but Smith thinks that Carroll has the ability to still play a part at Anfield.
"Brendan Rodgers clearly isn't an admirer of Carroll and I can respect that," Smith wrote in his column in the Liverpool Echo.
"But I have always thought Carroll offered something, and I still do. Ok, his injury record has not been good this season, but when fit and firing he presents a strong threat. So I'm disappointed we have not found a way to accommodate him [this season]."
Carroll will be ineligible when Sam Allardyce's side play the Reds at Anfield tomorrow afternoon.
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