Woods has confirmed he will also be entering the Honda Classic in Florida - he was second to McIlroy last year - and then the Cadillac Championship in Miami. That is the second of this season's world championships and the event he withdrew from on the final day last year because of an Achilles injury.
"I'm excited to be playing in the Honda Classic again," Woods said on his website. "I like the golf course and I came pretty close last year."
He shot a closing 62, but McIlroy held him off.
He added: "It's part of a busy stretch for me, and I want to continue playing well."
He won the Farmers Insurance Open in San Diego a fortnight ago, whereas McIlroy has not played since missing the cut - as did Woods - in Abu Dhabi four weeks ago.