iOS 10.1.1 is safe to upgrade, if you are already on 7 or 7.0.3. But, if you are using iOS 6.1.3 jailbreak, then avoid this update until the iOS 10.1.1 jailbreak tool doesn’t ready.
iOS 10.1.1 has been released publicly by Apple. After each update, thousands users look jailbreak for that release. There was a huge spike in the jailbreak users who were looking iOS 10.1.1 jailbreak and they couldn’t get what they wanted except just a tweet from MuscleNerd, a jailbreak team member.
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Just after iOS 10.1.1 released, Evad3rs team member, MuscleNerd, has tweeted and said that 8.1 is jailbreak safe and you can upgrade to it, only if you are already on iOS 10.1.1 or newer firmware.
However, you should avoid iOS 10.1.1 to upgrade, if you are already using iOS 6.1.3 evasiOn JB tool. Its better to wait for 8.1 jailbreak from official JB team.
Meanwhile, Evad3rs itself has updated their blog and warned users who are looking official iOS 10.1.1 jailbreak software evasiOn tool that don’t download any faker JB tool from any website, because jailbreak for iOS 10.1.1 not yet.