The 18-year old is in the third year of his stint at Villa and jumped at the chance to come to Vale Park.
He told the club's official website: "I first heard about Vale's interest on Tuesday and jumped at the chance of coming to Vale Park.
"I feel I can offer something and I am sure I can help the lads climb off the foot of the table. I need to get a few games under my belt.
Sinnott added: "Obviously I am delighted Chris has agreed to come to the club. He can play across the midfield, at right back and I am sure he will be able to do a job for us."