The 28-year old former Brisbane Roar captain made his 'Gers debut with a late cameo in the 1-0 away win at Dundee United last weekend and is looking forward to Sunday's Ibrox meeting with Glasgow rivals Celtic.
The Old Firm clashed seven times last season but McKay is embracing the meeting as he feels these types of big games are what make the clubs so special.
"I've got no problems with playing more than seven games with Celtic," McKay told the club's official website.
"They're the type of games we want to be playing in all the time.
"Every footballer wants to play in big matches and that's why we all play the game. We want to play in the most important ones.
"We want to knock Celtic off their stride because this is going to be another big year and after three titles in a row, we want to make it four."