Here are a few ways to speed up the drying process:
Blow-dry the sneakers for 10-15 minutes and leave them to air-dry; hold the appliance at least 1 ½ feet away from the shoe, and avoid exposing the material to very high heat
Keep white shoes in a clean and sunny area to dry; for coloured canvas sneakers, choose a shady spot
Place the sneakers on a window sill which usually gets a good amount of cross ventilation
Face a pedestal fan towards the sneakers and run it on the highest speed
Use a dry towel to absorb as much moisture from the canvas before air-drying
Stuff the sneakers with paper towels; replace them when soaked