diff --git a/libqpdf/QPDF.cc b/libqpdf/QPDF.cc
index 2273b67..b34b8a3 100644
--- a/libqpdf/QPDF.cc
+++ b/libqpdf/QPDF.cc
@@ -124,9 +124,9 @@ QPDF::ForeignStreamData::ForeignStreamData(
 {
 }
 
-Streams::Copier::Copier(QPDF& qpdf) :
+Streams::Copier::Copier(Streams& streams) :
     QPDFObjectHandle::StreamDataProvider(true),
-    qpdf(qpdf)
+    streams(streams)
 {
 }
 
@@ -134,15 +134,15 @@ bool
 Streams::Copier::provideStreamData(
     QPDFObjGen const& og, Pipeline* pipeline, bool suppress_warnings, bool will_retry)
 {
-    auto foreign_data = copied_data.find(og);
+    auto data = copied_data.find(og);
     bool result = false;
-    if (foreign_data != copied_data.end()) {
-        result = qpdf.pipeForeignStreamData(
-            foreign_data->second, pipeline, suppress_warnings, will_retry);
+    if (data != copied_data.end()) {
+        result = streams.qpdf().pipeForeignStreamData(
+            data->second, pipeline, suppress_warnings, will_retry);
         QTC::TC("qpdf", "QPDF copy foreign with data", result ? 0 : 1);
     } else {
-        auto foreign_stream = copied_streams[og];
-        result = foreign_stream.pipeStreamData(
+        auto stream = copied_streams[og];
+        result = stream.pipeStreamData(
             pipeline, nullptr, 0, qpdf_dl_none, suppress_warnings, will_retry);
         QTC::TC("qpdf", "QPDF copy foreign with foreign_stream", result ? 0 : 1);
     }
diff --git a/libqpdf/qpdf/QPDF_private.hh b/libqpdf/qpdf/QPDF_private.hh
index 6a355c8..2fb827a 100644
--- a/libqpdf/qpdf/QPDF_private.hh
+++ b/libqpdf/qpdf/QPDF_private.hh
@@ -606,7 +606,7 @@ class QPDF::Doc
                 Copier& operator=(StreamDataProvider const&) = delete;
                 Copier& operator=(StreamDataProvider&&) = delete;
 
-                Copier(QPDF& qpdf);
+                Copier(Streams& streams);
                 ~Copier() final = default;
 
                 bool provideStreamData(
@@ -628,14 +628,15 @@ class QPDF::Doc
                 }
 
               private:
-                QPDF& qpdf;
+                Streams& streams;
                 std::map<QPDFObjGen, QPDFObjectHandle> copied_streams;
                 std::map<QPDFObjGen, ForeignStreamData> copied_data;
             };
 
           public:
             Streams(QPDF& qpdf) :
-                qpdf(qpdf)
+                qpdf_(qpdf),
+                copier_(std::make_shared<Copier>(*this))
             {
             }
 
@@ -676,17 +677,20 @@ class QPDF::Doc
                 qpdf->copyStreamData(dest, src);
             }
 
+            QPDF&
+            qpdf() const
+            {
+                return qpdf_;
+            }
+
             std::shared_ptr<Copier>&
             copier()
             {
-                if (!copier_) {
-                    copier_ = std::make_shared<Copier>(qpdf);
-                }
                 return copier_;
             }
 
           private:
-            QPDF& qpdf;
+            QPDF& qpdf_;
 
             std::shared_ptr<Copier> copier_;
         };