Lenny in 1999 had already developed an eye with winds only 35-40mph, so it is not impossible to have a tropical storm with an eye. Dennis in 1999 (although at 70) is another example you dont necessarily need a hurricae to have an eye. However, Irene does not have an eye at the moment--it seems to actually be undergoing a bit of easterly shear right now.

96L is getting better organized, with convection and a well-defined circulation, although not a well-organized center. I expect to see this upgraded to a TD diring the weekend, and a TS by Monday.