on the turn
In the process of changing, especially for the better. Investors were hopeful that markets were on the turn following the recent announcement of lowering unemployment rates. We'll have to wait until conditions are on the turn before we can make our ascent to the peak of the mountain.
on the ˈturn
(especially British English) going to change soon: That’s the third time they’ve won this season. I think their luck is on the turn.