The 21-year-old is out of contract at the end of the season and will be allowed to agree a deal with a continental club in January.
Ajax hope their development programme can tempt the England Under-21 star to move to Amsterdam.
The Dutch giants face competition from Inter Milan, a club that Tom’s father Paul played for in the 90s.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?