I never get the whole view point that anything but jumping is boring. I do so much more in flat lessons. You can do leg yields, work on bending, circles, two point, sitting trot, work on moving uphill, softening to the bit, serpentines, using your ends, lenghtening and shortening of strides, being soft off the leg, work on your own position, and that is just the beginning!
Besides, would you rather take it slow now and excel later, or rush into it, one of you get hurt, or the horse develop serious issues, etc.
If you don't have patience to learn, then don't ride. Horses are big and potentially dangerous, there is no room for impatience on a horse ;-/