The Irish are heavily in the mix for Pullard, along with four other schools, all from the Pac-10.
"I'm still considering USC, UCLA, Arizona State, Washington and Notre Dame," said Pullard. "All of them are recruiting me hard. No one is recruiting me harder than the others. And I have no favorite right now."
Pullard said he's still hearing from Florida and an official offer could be coming.
"Florida could be offering, but I don't know when they will," said Pullard.
So far, Pullard has only attended one college football game this season and whether he takes an official visit to the local schools is still up in the air.
"I went to the UCLA-Kansas State game, but that's been it," said Pullard. "I don't know yet if I'll visit USC or UCLA officially."
On the field, Pullard has been an anchor for the Cougars, who are 4-0 and have reeled off several wins against Southern Section opponents.
"The season is going really good," said Pullard. "I'm being a leader on and off the field, keeping the whole team motivated and intense the whole time. Since we're number one, we've got to keep our composure and stay fundamentally sound."
Crenshaw plays Culver City on Friday before Pullard leaves for Notre Dame.
Academically, he's all squared, with a 3.4 GPA and a 1300 on the SAT.