Mentioning advisor qualifications in statement of purpose

I am doing my master's in a relatively unknown institution, but with an excellent faculty. Most of them are graduates from top universities (TOP 10) and my advisor is one of them.

Is it OK to mention this in the statement of purpose for PhD applications? I want to show that I have been under good instruction even if the university is relatively unknown. Basically what I am thinking of writing is "I had the prevliage to have taken courses under the instruction of alumni of [That university with big name] and worked under the supervision of Prof. X who has long professional experience in [Relevant industry]".