Supreme Court Justice Ruth Bader Ginsburg is predicting “sharp disagreements” on the high court as the justices are on the cusp of landmark rulings including the fate of President Obama’s healthcare law.

“As one may expect, many of the most controversial cases remain pending,” she said in remarks Friday evening to the American Constitution Society, according to CNN. “So it is likely that the sharp disagreement rate will go up next week and the week after.”

The high court is slated to rule in the next two weeks on the healthcare reforms, including the core question of whether the individual insurance mandate is constitutional, as well as on Arizona’s anti-illegal immigration law, broadcast indecency regulations, and other matters.