The 41-year-old is reportedly being considered by owner Mike Ashley.
Tuchel, a former Mainz boss, is on a year’s sabbatical after stepping down from the German club in May.
The 41-year-old is rated as an innovative tactician and reportedly fits the bill when it comes to Ashley's idea of the perfect Newcastle coach.
As such, the German's odds have shortened to prices as low as 12/1 according to sports betting website Oddschecker.
Many Newcastle fans may be happier to see Jurgen Klopp in the frame for the St James' Park post but fellow German Tuchel has now moved to fourth-favourite for the job.
Tim Sherwood and Steve McClaren are still ahead of Tuchel in the running, however, according to bookmakers, with John Carver also in the top three.
The Magpies' current caretaker boss is in pole position when it comes to impressing Ashley while he takes temporary charge of the Newcastle side.