It isn't a matter of tire pressure, though lowering it much will be counter productive. Most folks set the roller contact pressure way too high. It should only be enough to drive the roller without slippage.
It helps to wipe the roller down with a bit of alcohol to remove any film of oil left from manufacturing. It also helps to have very true wheels free of any hops.
Lastly, if you have room between the roller unit and the tensioning screw, insert a rubber or elastomer block so that the roller more easily maintain contact with an untrue tire, as the height changes.
Other than that all I can suggest is using old or cheap tires on the trainer to save dough on tire replacement.