The most recent observations have shows that not only is our universe expanding, but it is accelerating.... and unless we have a few figures REALLY wrong, there isn't NEAR enough matter in the universe to stop the process.... so there won't be any "Big Crunch" (no one has thought there would be for some time now) but there might be a "Big Rip"

Or the universe might end with Cold Death....    Unless it's around long enough that Heat Death gets it first....