We are starting to see some reports of westerly surface winds on the southern side of Invest Dolly. Maximum sustained winds within Dolly are presently estimated to be around 30 knots, so could be become a sloppy TD or weak TS overnight. Maybe. (Big maybe)

Eastern Caribbean radar does indeed show that a lowerish level circulation exists exactly where the center of Dolly is being tracked (shown below circled in black atop the radar image)