Firstly, how do you know that you have wet steam? "Wet steam" is often thrown out as the reason for all kinds of problems. I've known equipment manufacturers, designers, contractors, production people, etc. to drag this out as "the reason" behind all kinds of things. Sometimes, wet steam really is the problem. More often than not, though, it's a convenient smoke bomb to permit the dumping an unrelated problem in somebody elses lap - like yours.
If you do have wet steam at your sterilizers, then you need to find out why. Do you have wet steam everywhere? Is the boiler water chemistry OK? Is the near boiler piping installed and insulated properly? Are the steam lines in your facility all sloped, trapped and insulated correctly? Is there a trap ahead of the shut off valve for the sterilizers so that when they are out of service, there isn't a large pocket of condensate collecting ahead of it?
If all else fails, and the issue is still "wet steam", install a steam separator on the smallest application that is deemed to have the problem. Discharge the trap to the floor, or a bucket. If you get a lot of condensate, and/or the process shows measurable improvement, then wet steam is likely the problem. If there's not much condensate, and/or there's really no change in the equipment performance, then something else is causing the problem.