The Seasiders plan to see off West Ham by sealing a permanent £250,000 deal for Varney.
The on-loan Derby striker's five Premier League goals have raised the Hammers' interest and they can make a move when the transfer window opens.
However, the Seasiders have already offered Varney terms and hope to seal an agreement this month.
The 28-year-old can talk to other clubs next month but Blackpool boss Ian Holloway is eager to push through a permanent arrangement.
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