The Mirror reports that Celtic boss Neil Lennon will make a new bid for Tomlin, after having three bids rejected for him in the summer.
Peterborough have reportedly put a £4.5million price-tag on the highly-rated playmaker.
Celtic scout Craig Strachan watched Tomlin in action for Peterborough at the weekend.
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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?