Its no secret that it took a long time for iOS 7.0 to be jailbroken. The first untethered jailbreak for iOS 7.x was released by the evad3rs team, the exploit that their jailbreak used was patched by Apple in its latest firmware update, iOS 7.1. There is really no predicting when iOS 7.1 will be jailbroken, particularly for newer devices, but people still using legacy devices might be in luck. A developer has shown off iOS 7.1 untethered jailbreak on video, but it may not be compatible with all devices.
The developer, @wincom, is commonly known for his work on legacy devices. Its not entirely impossible to achieve an iOS 7.1 untethered jailbreak for devices running on the A4 processor. Only a couple of them support iOS 7 in the first place, but they’re aided by the A4 bootrom exploit, which eliminates the need to search for a software exploit.
Jailbreak developers have not been able to find another bootrom device since the A4, the most popular iOS device powered by this processor is the iPhone 4. Since then they have relied upon software exploits, which are easier for Apple to fix, since they only require a firmware update.
@wincom has only shown off his iOS 7.1 untethered jailbreak on video right now, he hasn’t said when it will be released for legacy devices. On the other hand, the evad3rs team is working on finding an exploit, but who knows how long that will take.