The Manchester Evening News says Lindegaard is prepared to wait until the summer to leave Old Trafford rather than rush into a decision this month if the right opportunity doesn't come along.
The 30-year-old, signed in the January window in 2011 for £3.5m from Norwegian club Alesunds in preparation for the retirement of Edwin van der Sar has lost out in the battle to be the Reds number one to David de Gea.
But unless Lindegaard is convinced by one of his suitors then he is likely to remain on the Old Trafford payroll until the summer.
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