diff --git a/include/wx/private/webrequest.h b/include/wx/private/webrequest.h
index 2b44af1fe0..3f3bca6158 100644
--- a/include/wx/private/webrequest.h
+++ b/include/wx/private/webrequest.h
@@ -205,7 +205,7 @@ public:
 
     virtual wxVersionInfo GetLibraryVersionInfo() = 0;
 
-    void SetHeader(const wxString& name, const wxString& value)
+    void AddCommonHeader(const wxString& name, const wxString& value)
         { m_headers[name] = value; }
 
     void SetTempDir(const wxString& dir) { m_tempDir = dir; }
diff --git a/include/wx/webrequest.h b/include/wx/webrequest.h
index 73ab9641d7..75eb170d7a 100644
--- a/include/wx/webrequest.h
+++ b/include/wx/webrequest.h
@@ -220,7 +220,7 @@ public:
 
     wxVersionInfo GetLibraryVersionInfo();
 
-    void SetHeader(const wxString& name, const wxString& value);
+    void AddCommonHeader(const wxString& name, const wxString& value);
 
     void SetTempDir(const wxString& dir);
     wxString GetTempDir() const;
diff --git a/interface/wx/webrequest.h b/interface/wx/webrequest.h
index 29559b89f6..25e1a3f0fa 100644
--- a/interface/wx/webrequest.h
+++ b/interface/wx/webrequest.h
@@ -581,10 +581,13 @@ public:
         A good example for a session-wide request header is the @c User-Agent
         header.
 
+        Calling this function with the same header name again replaces the
+        previously used value.
+
         @param name Name of the header
         @param value String value of the header
     */
-    void SetHeader(const wxString& name, const wxString& value);
+    void AddCommonHeader(const wxString& name, const wxString& value);
 
     /**
         Override the default temporary directory that may be used by the
diff --git a/src/common/webrequest.cpp b/src/common/webrequest.cpp
index 12d78039bf..eb3ce57102 100644
--- a/src/common/webrequest.cpp
+++ b/src/common/webrequest.cpp
@@ -773,7 +773,7 @@ wxStringWebSessionFactoryMap gs_factoryMap;
 wxWebSessionImpl::wxWebSessionImpl()
 {
     // Initialize the user-Agent header with a reasonable default
-    SetHeader("User-Agent", wxString::Format("%s/1 wxWidgets/%d.%d.%d",
+    AddCommonHeader("User-Agent", wxString::Format("%s/1 wxWidgets/%d.%d.%d",
         wxTheApp->GetAppName(),
         wxMAJOR_VERSION, wxMINOR_VERSION, wxRELEASE_NUMBER));
 }
@@ -889,11 +889,11 @@ wxVersionInfo wxWebSession::GetLibraryVersionInfo()
     return m_impl->GetLibraryVersionInfo();
 }
 
-void wxWebSession::SetHeader(const wxString& name, const wxString& value)
+void wxWebSession::AddCommonHeader(const wxString& name, const wxString& value)
 {
     wxCHECK_IMPL_VOID();
 
-    m_impl->SetHeader(name, value);
+    m_impl->AddCommonHeader(name, value);
 }
 
 void wxWebSession::SetTempDir(const wxString& dir)