In due course
Definition 1 of 1
Pro Tip 1/3Not Immediate
Indicates you will need to wait for something to happen or be done, but it's not urgent. 
Your application has been received and will be processed in due course.
Pro Tip 2/3Uncertain Timing
Used when the exact time something will happen is not known or can't be promised. 
The meeting's outcome will be revealed in due course.
Pro Tip 3/3Natural Progression
Suggests that events will unfold as expected, without interference or rushing. 
The caterpillars will turn into butterflies in due course.