Hard to predict a time or speed not knowing anything about your sustainable power or aerodynamics. Will you be riding with clip on aero bars and any other aero gear (helmet, deep dish rims, skinsuit, etc.)?
You should expect at least a couple of Cat 4s with full aero kit and TT pacing experience to average 26-28 mph for a short flat out and back TT or IOW to finish the 7 miles in roughly 15 - 16 minutes(perhaps a bit more considering the start and turnaround on such a short course, but fast nonetheless). Add a minute or two to that time for folks riding it on standard road bikes without any aero accessories.
If you've been competitive in the first couple of races and have been involved in attacks, chases, breaks and solo efforts then you probably have the fitness to compete in the TT. But aerodynamics is huge for a flat course and most folks go out way too hot and blow up in their first few TTs so experience and bike position count for a lot even if you have the raw power. If you've sat in, played a cagey game and placed in your first couple of races by jumping off other folks wheels in the sprint then you'll probably find out why the TT is called "the race of truth". So it depends a lot on where you're coming from and how you typically ride.
If you have a week or more to practice with them you should beg, borrow or steal a set of clip on aero bars and get used to riding in that position. I wouldn't suggest bolting them on race day without a bit of practice as they tend to take some getting used to and a crash will cost you way more than poor aerodynamics.
But with or without aero bars you should so some long mock TT efforts from a standing start as your Threshold training between now and the TT. Get a good warmup and start each effort from a standstill with a foot on the ground to get used to getting your gears wound up and settling into a pace without digging too deep a hole. Most TTs are lost in the first minute or so as folks go way too hard and have to back down to recover. Rolling into an interval is very different than starting from a dead stop so practice that and maintain the effort for 12 to 20 minutes per effort to dial in your pacing and focus.
As long as you don't overamp the start or lose focus it'll come down to just getting out and riding your best ride.
Good luck,
-Dave