The phrase "currently is" is correct and usable in written English. You can use it to denote something that exists or is true at the present moment. For example: "The currently situation is very uncertain.".
Half its oil currently is imported.
There currently is no ceiling.
It currently is at 2.7 percent.
Italy currently is the eurozone's weakest link.
And that's exactly what it currently is.
Reality is only what currently is.
It currently is about 315 apartments.
I love the desktop app, it’s always running on my Mac. Ludwig is the best English buddy, it answers my 100 queries per day and stays cool.
Cristina Valenza
Retail Lead Linguist @ Apple Inc.