If I am starting a suite clean say at 9am, I tell the client there is a good chance it will not be fully dry that day.
It might FEEL dry, but that is on the surface. Big lumps of sponge, so its going to take time.
Of, course, if you have a air blower them this will help in the drying process.
If you hav'nt got one your stuck.
Home-Tek do a hand held vacuum cleaner, "Hunter", with rotating brush for about £40, cheaper on Ebay. I use for suites and stairs. Get away with it on a bed but bit small. Sebo BS36 or Kirby for beds, that type of machine.