diff --git a/fuzz/CMakeLists.txt b/fuzz/CMakeLists.txt
index 233a4571..ec33caa4 100644
--- a/fuzz/CMakeLists.txt
+++ b/fuzz/CMakeLists.txt
@@ -116,6 +116,7 @@ set(CORPUS_OTHER
   65777.fuzz
   68374.fuzz
   68377.fuzz
+  68668.fuzz
 )
 
 set(CORPUS_DIR ${CMAKE_CURRENT_BINARY_DIR}/qpdf_corpus)
diff --git a/fuzz/qpdf_extra/68668.fuzz b/fuzz/qpdf_extra/68668.fuzz
new file mode 100644
index 00000000..ee9ecb7f
Binary files /dev/null and b/fuzz/qpdf_extra/68668.fuzz differ
diff --git a/fuzz/qtest/fuzz.test b/fuzz/qtest/fuzz.test
index 38590d4c..13285f1a 100644
--- a/fuzz/qtest/fuzz.test
+++ b/fuzz/qtest/fuzz.test
@@ -21,7 +21,7 @@ my @fuzzers = (
     ['pngpredictor' => 1],
     ['runlength' => 6],
     ['tiffpredictor' => 2],
-    ['qpdf' => 58],             # increment when adding new files
+    ['qpdf' => 59],             # increment when adding new files
     );
 
 my $n_tests = 0;
diff --git a/libqpdf/QPDFWriter.cc b/libqpdf/QPDFWriter.cc
index f66e1615..c2d988bd 100644
--- a/libqpdf/QPDFWriter.cc
+++ b/libqpdf/QPDFWriter.cc
@@ -1944,28 +1944,30 @@ QPDFWriter::preserveObjectStreams()
     // that are not allowed to be in object streams. In addition to removing objects that were
     // erroneously included in object streams in the source PDF, it also prevents unreferenced
     // objects from being included.
-    auto iter = xref.cbegin();
     auto end = xref.cend();
-
-    // Start by scanning for first compressed object in case we don't have any object streams to
-    // process.
-    for (; iter != end; ++iter) {
-        if (iter->second.getType() == 2) {
-            // Pdf contains object streams.
-            QTC::TC(
-                "qpdf",
-                "QPDFWriter preserve object streams",
-                m->preserve_unreferenced_objects ? 0 : 1);
-
-            if (m->preserve_unreferenced_objects) {
-                for (; iter != end; ++iter) {
-                    if (iter->second.getType() == 2) {
-                        m->obj[iter->first].object_stream = iter->second.getObjStreamNumber();
-                    }
-                }
-            } else {
+    m->obj.streams_empty = true;
+    if (m->preserve_unreferenced_objects) {
+        for (auto iter = xref.cbegin(); iter != end; ++iter) {
+            if (iter->second.getType() == 2) {
+                // Pdf contains object streams.
+                QTC::TC("qpdf", "QPDFWriter preserve object streams preserve unreferenced");
+                m->obj.streams_empty = false;
+                m->obj[iter->first].object_stream = iter->second.getObjStreamNumber();
+            }
+        }
+    } else {
+        // Start by scanning for first compressed object in case we don't have any object streams to
+        // process.
+        for (auto iter = xref.cbegin(); iter != end; ++iter) {
+            if (iter->second.getType() == 2) {
+                // Pdf contains object streams.
+                QTC::TC("qpdf", "QPDFWriter preserve object streams");
+                m->obj.streams_empty = false;
                 auto eligible = QPDF::Writer::getCompressibleObjSet(m->pdf);
-                for (; iter != end; ++iter) {
+                // The object pointed to by iter may be a previous generation, in which case it is
+                // removed by getCompressibleObjSet. We need to restart the loop (while the object
+                // table may contain multiple generations of an object).
+                for (iter = xref.cbegin(); iter != end; ++iter) {
                     if (iter->second.getType() == 2) {
                         auto id = static_cast<size_t>(iter->first.getObj());
                         if (id < eligible.size() && eligible[id]) {
@@ -1975,12 +1977,10 @@ QPDFWriter::preserveObjectStreams()
                         }
                     }
                 }
+                return;
             }
-            return;
         }
     }
-    // No compressed objects found.
-    m->obj.streams_empty = true;
 }
 
 void
diff --git a/qpdf/qpdf.testcov b/qpdf/qpdf.testcov
index 7501a4b5..fe7eb38a 100644
--- a/qpdf/qpdf.testcov
+++ b/qpdf/qpdf.testcov
@@ -600,7 +600,8 @@ QPDFAcroFormDocumentHelper AP parse error 0
 QPDFJob copy fields not this file 0
 QPDFJob copy fields non-first from orig 0
 QPDF resolve duplicated page in insert 0
-QPDFWriter preserve object streams 1
+QPDFWriter preserve object streams 0
+QPDFWriter preserve object streams preserve unreferenced 0
 QPDFWriter exclude from object stream 0
 QPDF_pages findPage not found 0
 QPDFObjectHandle check ownership 0