diff --git a/index.js b/index.js
index 977b284..f85dbe2 100644
--- a/index.js
+++ b/index.js
@@ -261,6 +261,7 @@ function globStream(globs, opt) {
   var stream = new Readable({
     highWaterMark: ourOpt.highWaterMark,
     read: read,
+    open: open,
     predestroy: predestroy,
   });
 
@@ -277,19 +278,23 @@ function globStream(globs, opt) {
   walker.on('path', onPath);
   walker.once('end', onEnd);
   walker.once('error', onError);
-  ourGlobs.forEach(function (glob) {
-    if (isGlob(glob)) {
-      // We only want to walk the glob-parent directories of any positive glob
-      // to reduce the amount of files have to check.
-      if (isPositiveGlob(glob)) {
-        var base = globParent(glob);
-        walker.walk(base);
+
+  function open(cb) {
+    ourGlobs.forEach(function (glob) {
+      if (isGlob(glob)) {
+        // We only want to walk the glob-parent directories of any positive glob
+        // to reduce the amount of files have to check.
+        if (isPositiveGlob(glob)) {
+          var base = globParent(glob);
+          walker.walk(base);
+        }
+      } else {
+        // If the strig is not a glob, we just check for the existence of it.
+        walker.exists(glob);
       }
-    } else {
-      // If the strig is not a glob, we just check for the existence of it.
-      walker.exists(glob);
-    }
-  });
+    });
+    cb();
+  }
 
   function read(cb) {
     walker.resume();
diff --git a/test/index.js b/test/index.js
index 4943370..5fbbbec 100644
--- a/test/index.js
+++ b/test/index.js
@@ -887,6 +887,22 @@ function suite(moduleName) {
         done
       );
     });
+
+    it('does not end prematurely', function (done) {
+      var gs = globStream(['./non-existent-file'], { cwd: dir, allowEmpty: true });
+
+      function setup() {
+        stream.pipeline(
+          [
+            gs,
+            concat(),
+          ],
+          done
+        );
+      }
+
+      setTimeout(setup, 10);
+    });
   });
 
   describe('options', function () {