Dons lost to the Bees in the dying minutes at stadium:mk earlier in the season and it looked like they had revenge when Aaron Wilbraham headed home at the far post two minutes into injury time.
The centre-back has already impressed during his six appearances for the Dons and boss Paul Ince is delighted to have secured his services until April 11.
Woodards came off after just 18 minutes of the win over Swindon in midweek after he thought he had pulled a muscle but the club's medical staff believe he will be fit to face the Bees.
FootyMad attempt to assist you with their form guide as Brentford take on Milton Keynes Dons in a League One match on Saturday, 13th March 2010 at 15:00.
The Dons were in command following first-half goals from Aaron Wilbraham and James Tunnicliffe before Daniel Ward netted a late consolation for the luckless Robins, who hit the woodwork three times.
Gleeson missed the 1-0 win over Leyton Orient on Saturday after injuring his ankle in training on Friday and is a doubt to be fit for Paul Ince's side.
The game between Milton Keynes Dons and Swindon Town in the League One on Tuesday, 9th March 2010 at 19:45 takes centre stage for FootyMad's preview analysis.