turbo boost is sort of an auto-overclocking. turbo boost kicks in when there is thermal headroom. it is not motherboard chipset dependent. if your workload demands, turbo boost will kick in. sometimes amount of duration or turbo clockrate vary among motherboards. bottom line, h77 chipset will let the i5 turbo.
what you won't be able to do is raise cpu turbo multiplier 4 bins above base. if you use a z7x or z68 or p67 chipset, you will be able to oc the partially unlocked i5 400 mhz over base clockrate. h7x, h6x chipsets do not allow that.