To me it looks like we are already seeing rotation off the new African wave:

http://wwwghcc.msfc.nasa.gov/GOES/goeseastfullir.html

NHC TWD (2am):
FAR E ATLC WAVE IS ALONG 21W S OF 22N MOVING W 10-15 KT. A 1011
MB LOW IS ALONG THE WAVE NEAR 13N. THE LOW HAS CURVED BANDS ON
THE ITCZ WITH PLENTY OF CONVECTION. THERE IS LITTLE SHEAR NEAR
THE SYSTEM AND SLOW DEVELOPMENT IS EXPECTED. COMPUTER MODELS
STRONGLY SUGGEST THAT THIS WAVE HAS A CHANCE OF TURNING INTO A
TROPICAL CYCLONE DURING THE NEXT FEW DAYS. SCATTERED MODERATE
TO ISOLATED STRONG CONVECTION IS FROM 13N-16N BETWEEN
19W-22W...AND FROM 6N-13N BETWEEN 22W-30W.

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The system near the gulf doesn't look so great right now, but the 2am TWD still says they expect it to develop.