Standard fluorescent lights contain their own filter within the bulb. I have no covers at all as I have a shop light that leaves the bulbs exposed. Very little UV light gets out unless the screen is right against the bulb cross lining can't occur because the light is not strong enough at 12" away.
Even daylight bulbs, full spectrum bulbs, plant bulbs or unfiltered black light bulbs at a few ft away can't expose emulsion(cross link) although with the above type of lights some skinning at the surface can occur if left out for 30+ min. If your fixture has a plastic cover over the bulbs it will further bock UV light.
I use photopolymer and can leave out screens in the shop with the lights on for days without any problems. I don't make it a habit but I do coat, line up films and washout all in standard white light from 4100k fluorescent bulbs. For 3-4 years I used yellow bug lights and even had a spot light above my film setting area. Its so much easier and quicker using standard white light.