The kicker was ruled out with a quad injury at halftime of the Week 9 encounter with the Tampa Bay Buccaneers Sunday at NRG Stadium.
Houston has been using running back Dare Ogunbowale for kickoffs. Houston has yet to attempt an extra point or field goal.
Fairbairn earned praise from special teams coordinator Frank Ross earlier in the week.
“As far as when he is actually kicking the football, he’s doing a great job and hopefully continues to do just that,” said Ross.