Delph will stay on loan at the Championship side until 25 February.
“We’ve been talking for a couple of weeks now with Villa about the possibility of bringing Fab back to the club,” said Leeds boss Grayson to the club’s official website.
“As everyone knows Fab is a talented footballer who did very well here and secured himself a big move on the back of what he did.
“This is a great deal for both parties. Fab will get some football and he is the calibre of player that we’ve been looking to bring in here.
“I’d like to thank Alex McLeish and Villa for allowing Fab to join us.”
