With Callum Wilson having left and Alexander Isak making a transfer demand, Toon management are having to find striker replacements.
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The Sun says while Newcastle are continuing to push to prise Yoane Wissa away from Brentford after making an offer of £25m, they're also eyeing Jackson.
Newcastle have registered their interest with Chelsea and are ready to open talks over fee should the Blues be prepared to sell.
So far this summer, Jackson as turned down approaches from Napoli and AC Milan as he wants to remain in the Premier League, even if he must leave the Blues.
Aston Villa's England centre-forward Ollie Watkins is also on Newcastle's radar.