Rinsing filter floss in tap water - enough chlorine to cause a problem?

[majorwoo]

So if I take my Eheim canister filter apart and rinse the filter floss (JUST the filter floss, not the bio media) am I being paranoid to add a ml or two of water conditioner to my tank because the floss holds a little bit of water which would have some chlorine?

P.S. <-- bored engineer, over thinking things.