diff --git a/include/wx/containr.h b/include/wx/containr.h
index 3f91f3e6a3..b465e33c30 100644
--- a/include/wx/containr.h
+++ b/include/wx/containr.h
@@ -76,11 +76,12 @@ public:
     bool DoSetFocus();
 
     // returns whether we should accept focus ourselves or not
-    bool AcceptsFocus() const { return m_acceptsFocusSelf; }
+    bool AcceptsFocus() const
+        { return m_acceptsFocusSelf && m_winParent->CanBeFocused(); }
 
     // Returns whether we or one of our children accepts focus.
     bool AcceptsFocusRecursively() const
-        { return m_acceptsFocusSelf ||
+        { return AcceptsFocus() ||
             (m_acceptsFocusChildren && HasAnyChildrenAcceptingFocus()); }
 
     // We accept focus from keyboard if we accept it at all.
diff --git a/include/wx/msw/radiobox.h b/include/wx/msw/radiobox.h
index a0f546df9d..def96487c8 100644
--- a/include/wx/msw/radiobox.h
+++ b/include/wx/msw/radiobox.h
@@ -97,6 +97,7 @@ public:
     // override some base class methods
     virtual bool Show(bool show = true);
     virtual bool Enable(bool enable = true);
+    virtual bool CanBeFocused() const;
     virtual void SetFocus();
     virtual bool SetFont(const wxFont& font);
     virtual bool ContainsHWND(WXHWND hWnd) const;
diff --git a/include/wx/window.h b/include/wx/window.h
index 52c7a4c466..a8f757037b 100644
--- a/include/wx/window.h
+++ b/include/wx/window.h
@@ -724,8 +724,13 @@ public:
     virtual bool AcceptsFocusFromKeyboard() const { return AcceptsFocus(); }
 
 
-        // this is mostly a helper for the various functions using it below
-    bool CanBeFocused() const { return IsShown() && IsEnabled(); }
+        // Can this window be focused right now, in its current state? This
+        // shouldn't be called at all if AcceptsFocus() returns false.
+        //
+        // It is a convenient helper for the various functions using it below
+        // but also a hook allowing to override the default logic for some rare
+        // cases (currently just wxRadioBox in wxMSW) when it's inappropriate.
+    virtual bool CanBeFocused() const { return IsShown() && IsEnabled(); }
 
         // can this window itself have focus?
     bool IsFocusable() const { return AcceptsFocus() && CanBeFocused(); }
diff --git a/src/msw/radiobox.cpp b/src/msw/radiobox.cpp
index 7f811c9216..51fbac285a 100644
--- a/src/msw/radiobox.cpp
+++ b/src/msw/radiobox.cpp
@@ -444,6 +444,25 @@ void wxRadioBox::SetFocus()
     }
 }
 
+bool wxRadioBox::CanBeFocused() const
+{
+    // If the control itself is hidden or disabled, no need to check anything
+    // else.
+    if ( !wxStaticBox::CanBeFocused() )
+        return false;
+
+    // Otherwise, check if we have any buttons that can be focused.
+    for ( size_t item = 0; item < m_radioButtons->GetCount(); item++ )
+    {
+        if ( IsItemEnabled(item) && IsItemShown(item) )
+            return true;
+    }
+
+    // We didn't find any items that can accept focus, so neither can we as a
+    // whole accept it.
+    return false;
+}
+
 // Enable a specific button
 bool wxRadioBox::Enable(unsigned int item, bool enable)
 {