The March altercation between Jake Paul and Floyd Mayweather might have been a little more stressful than it initially appeared ... because new police video, obtained by TMZ Sports, shows a cop actually had to rush Paul to safety amid the chaotic confrontation.
The dustup went down outside of the Kaseya Center in Miami following the Heat vs. Cavaliers game on March 8 ... and in the new footage, you can see police seemed to be very concerned a real fight could break out between Paul, Mayweather and their entourages.