Trump leads the Florida poll by one point, 46-45, in a head-to-head match.
His lead expands to two points, 45-43, when third-party candidates are included in the race, with Libertarian Gary Johnson following at 4 percent and Green Party candidate Jill Stein at 2 percent.
The businessman spoke in five different Florida cities since Sunday, indicating a win in the swing state is important to him.
A recent CBS/YouGov poll released Sunday showed Clinton ahead by four points, 46-42, with Johnson at 3 percent and Stein at 2 percent. Bloomberg/Selzer has not recently polled likely Florida voters.
The Bloomberg poll, conducted by Selzer & Co., surveyed 953 likely Florida voters via live telephone interview from Oct. 21-24, and has a margin of error of plus or minus 3.2 percent.
TPM's PollTracker Average for the presidential race in Florida shows a tossup, with Clinton leading Trump, 46.2 to 44.9.