Ibrox side Glasgow Rangers are currently six points behind Celtic in the Scottish Premiership.
Rangers are looking to catch Celtic at the top of the Scottish Premiership table, but their task looks like a difficult one.
And Tavernier admits that draws are no longer good enough for Rangers, if they are to lift the title in May.
“We can’t afford to drop any more points in the league because we’ve got to expect Celtic to win their games,” the right-back said.
“So it’s a must-win game against Aberdeen. We can’t get a draw, we don’t want that. We want to win and we then have Kilmarnock in the cup. We know this week has to be two wins to keep ourselves in a good position for the title and reach the quarter-finals of the cup.”
Rangers had pushed themselves level on points with Celtic before the winter break, but a slip up against Kilmarnock has proved very costly.
Steven Gerrard’s side are now six points behind their Glasgow rivals, as they look to play catch up.
Rangers’ task is not an easy one tonight either, as they take on Aberdeen at Pittodrie.
If Rangers lose this evening they will move down to third place in the standings, as the Dons will go above them.
Celtic are also in action tonight, when they take on Hibernian at Parkhead.
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