GameData/SSTU/ModIntegration/CLS/CLS.cfg currently supports all manned parts but the station modules.

Adding the following should be sufficient.

@PART[SSTU-ST-*]:HAS[!MODULE[ModuleConnectedLivingSpace]]:FOR[SSTU]:NEEDS[ConnectedLivingSpace]
{
	MODULE
	{
		name = ModuleConnectedLivingSpace
		passable = true
	}
}

You might be able to use * to shorten the current config code as well.

(I'm not an expert on MM config syntax.)

#779 corrects a mistake in this MM config.