generate random numbers within a range by using xorshift and modulo

It is famous that lower bits of the function rand() is not random.
So, it is not good to generate random numbers within a range by using rand() and modulo as follows:

rand() % M

, where a number in [0, M-1] is generated.

Now, I wonder how about xorshift.

xorshift() % M

That is, if replacing rand() by xorshift() as above, is a generated number a good random number?