Welcome to the Dell Community @themounper 

Yes it should work.

https://www.cpu-upgrade.com/CPUs/Intel/Core_i5_Mobile/i5-3360M_(PGA).html

It may run a little warmer because the TDP is 45 and the system is made for 35 TDP.

If you want an increase in performance and maintain system integrity upgrade to a CPU with the same TDP.

Like the Core i7-3632QM:

Best regards,

U2