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The rumours seem bizarre at this moment of time, especially considering Torpey is still out for two more months recovering from his injury.
Lincoln had also been wrongly linked with a loan swoop for Swindon striker Jamie Cureton.
Alexander told the Lincolnshire Echo: "We are in the market for a striker, but not those two.
"I am always looking to improve my squad, but, as yet, no-one has taken my fancy."
Meanwhile, the Imps have also been linked with a move for their former striker Simon Yeo.
The New Zealand Knights forward is unhappy and wants to return to England according to reports.