Minion travel mode when near champions

There has been a lot of discussion saying minion travel speed is to slow. Minion speed has nothing to do with the time between minion waves. Fast or slow the only thing that determines when the next wave is going to show up is spawn time. If they decrease the time between minion waves I fear it will push the game into a PvE situation similar to what we have currently when super minions spawn.

My solution is to increase minion speed while near allied champions. This would allow you to bring a wave with you back into lane. If you don't want to push the wave, take the jungle path back into lane. If you do speed up a wave you'll now have a gap of "missing" minions. I think this would give a dynamic sieging opportunity that come with a cost if it fails.