The Terriers have the option of turning the deal into a permanent move at the end of the teenager's loan spell.
Abadaki, who arrived in mid-September, has made seven starts and one substitute appearance for Town's Under-21s, scoring three goals.
"He immediately improved the group when he came in," Town's senior professional development coach Steve Eyre told the club's official website.
"His body strength is something that you don't see in someone of such a tender age. He can hold the ball up well and has the ability to play against a back four single-handedly."