It may be that you can use a high enough shutter speed and a small enough aperture to make the contribution of the florries negligible - ie your flash (if you use flash - you don't say) totally overpowers the ambient light. That's the usual way. One case in which it may not work is when the sync speed is too slow - like 1/30th, for example.
What sort of lights are you using (flash, tungsten, studio fluorescent, HMI etc)? How large an area are you shooting? Does it include the building interior, or is it bounded by the backdrop you are providing? What f-stop do you expect to get from your lights? What is the highest sync speed for your camera or lens?
Alternatively you could gel your lights to get close to the fluorescent lights - that is not ideal, but it can be done. You would need to know what tubes they use, or borrow a colour meter (unless you have one), or estimate then fine tune with a digital camera. You would also need a modest selection of 'plusgreen' (ie green) gels and possibly a few strengths of CTO (orange) or CTB (blue) gels to make adjustments with. Knowing what kind of tubes they use, and what sort of lights you use will indicate what kind of gels to get.
For reference, though it probably doesn't apply in this case, another way (there are a number of possibilities) would be to gel the tubes that are affecting the shot. You don't need to pin anything to the walls, just wrap the tubes that are affecting the shot in a strip of 'minusgreen' (ie magenta) gel, possibly with some colour temperature correction as well. Or wrap them in ND gel - but remember that the gels will turn light into heat.
Best,
Helen