diff --git a/modules/juce_core/zip/juce_ZipFile.cpp b/modules/juce_core/zip/juce_ZipFile.cpp
index c8c7b39f13..6fcd0c5f34 100644
--- a/modules/juce_core/zip/juce_ZipFile.cpp
+++ b/modules/juce_core/zip/juce_ZipFile.cpp
@@ -77,7 +77,7 @@ static int64 findCentralDirectoryFileHeader (InputStream& input, int& numEntries
 
     in.setPosition (in.getTotalLength());
     auto pos = in.getPosition();
-    auto lowestPos = jmax ((int64) 0, pos - 1024);
+    auto lowestPos = jmax ((int64) 0, pos - 1048576);
     char buffer[32] = {};
 
     while (pos > lowestPos)