As always, question is somewhat situationally dependent. General ROT if less than 8, you can press. Over 8 at SYR and you're done.
But, less than 8 at the end of a very long duty day, might be done....have to find a legal rest period in the preceding 24hours. Less than 8 at the end of a second very long day, almost guaranteed to be done thanks to the compensatory rest rule
read your FOM, might be contractually done.
read the FARs also, it's your career.
121.471 (g) A flight crewmember is not considered to be scheduled for flight time in excess of flight time limitations if the flights to which he is assigned are scheduled and normally terminate within the limitations, but due to circumstances beyond the control of the certificate holder (such as adverse weather conditions), are not at the time of departure expected to reach their destination within the scheduled time.