EXCLUSIVE
French Montana was not under the influence of alcohol when he was photographed drinking Ciroc from the bottle while cruising on one of Diddy's Sea-Doos ... so claim people close to the rapper.
As we previously reported ... French was in Miami Beach Saturday, catching some rays and drinking vodka. It's not illegal in Florida to drink while boating, but it IS illegal to drink to the point that the driver is impaired.
Although our French sources insist he "was not f***** up," Khloe posted a pic around the same time showing her crew -- including French -- on Diddy's roof with the caption, "The Ciroc made us do it!! #StepIntoTheCircle."