Astronomers have taken images of a dusty gas cloud near Sag A* over a span of 20 years and show that it is becoming elongated as it approaches the black hole:

From the article, “Ultimately, as X7 swings down into the deep of the black hole’s gravitational field, the cloud will come apart. But whether we’ll see the supermassive black hole feed on the 50 Earths’ worth of mass, the cloud currently contains remains to be seen. That’s in part because astronomers still aren’t sure how long material takes to flow into the dark maw.”

Here’s a link to the article and full-size image of the cloud as it approaches the black hole: