diff --git a/modules/juce_core/zip/juce_GZIPDecompressorInputStream.cpp b/modules/juce_core/zip/juce_GZIPDecompressorInputStream.cpp
index 610b10e341..8b166d8ce3 100644
--- a/modules/juce_core/zip/juce_GZIPDecompressorInputStream.cpp
+++ b/modules/juce_core/zip/juce_GZIPDecompressorInputStream.cpp
@@ -270,7 +270,7 @@ int GZIPDecompressorInputStream::read (void* destBuffer, int howMany)
 
 bool GZIPDecompressorInputStream::isExhausted()
 {
-    return helper->error || isEof;
+    return helper->error || helper->finished || isEof;
 }
 
 int64 GZIPDecompressorInputStream::getPosition()