If you're looking for a lightweight fabric in a sports bra, but need maximum support then take a look at the Freya Dynamic Wirefree Sports Bra - now 50% off last sizes:
Perfect for high intensity workouts, Dynamic is a non-wired soft sports bra that shapes and supports the breasts through encapsulation rather than traditional compression methods. Dynamic also features seam-soft thread to reduce friction against the skin.
Front:
Fully lined cups for increased support and reduced movement. Wide flat underband elastic for added comfort and anchorage under the bust.
Back:
Adjustable built up padded strap for comfort and support. Soft hook and eye with three rows for flexible fit.
Detail:
Slide hook fastening allows racer back option with quick and easy dressing.