Probabilities Problemp-value related

Well I dont know if I can post it here but this is for a good cause I have a test tommorow and Im stuck on it here follows the question:
when I do a test of hipothesys to the coeficient o linear correlation, I got
Ho: p = 0 and H1: p != 0 will it be allways unilateral? Cause I was testing
it and tought my critical region should be bilateral.
I mean if I dont have to split the areas cause I
can have both positive or negative correlation or maybe I
must exclude the area according with the value Ive found for the coeficient?

Thx in advance.