Peterborough United do not expect a quick decision over his next move from Craig Mackail-Smith.
The Daily Star says Everton, Norwich, Wigan and QPR have been tracking Mackail-Smith whose 35 goals last season helped Posh clinch promotion to the Championship through the play-offs.
Celtic and Rangers have also expressed an interest in the 27-year-old who made his Scotland debut against Brazil in March.
Peterborough director of football Barry Fry said: "We have had plenty of interest for Craig and we have accepted one bid.
"Craig is aware of this, but I don't expect him to make his mind up in a hurry."
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