I bring your attention to http://www.nhc.noaa.gov/tafb_latest/GULF_latest.gif This shows the current and projected position of the low. When they say a low is 'filling', they mean it is becoming weaker. The thunderstorms associated with this low are much weaker than they were and it is likely that this will become a non-issue in the near future. Until it *is* gone, it is prudent to continue to watch it simply due to its location, but it is not likely to develop into anything. Additionally, as long as the Low is over land, the engine cannot start. The worst that can happen is an enhancement of normal summertime daily showers but even this seems to be fading. For now, watch but don't expect anything.

The above URL is time sensitive and updated regularly so if you look at it more than a few hours after the time this was originally posted, you will note the low is no longer even depicted and as of this morning, only the original weak tropical wave remains off the SW Fl. coast, and it isn't likely to do much due to proximity to land.