According to Deadline, Hawke has been approached to appear on the series either in a regular or supporting role.
The TV series will be set 15 years after the events of the film - in which two LAPD cops (Hawke and Denzel Washington) team up over a 24 hour period in Los Angeles.
The new show will focus on a modern day LAPD department.
Hawke previously said that there was "a chance" of him being involved in the TV series.
The series is being done by CBS, with original director Antoine Fuqua directing and executive producing the pilot.
Alongside "Training Day", the network is also working on series for films "Limitless" and "Rush Hour".
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