diff --git a/pcsx2/GS/Renderers/OpenGL/GSDeviceOGL.cpp b/pcsx2/GS/Renderers/OpenGL/GSDeviceOGL.cpp
index ad7bbb0d3f..b8f5f38ebf 100644
--- a/pcsx2/GS/Renderers/OpenGL/GSDeviceOGL.cpp
+++ b/pcsx2/GS/Renderers/OpenGL/GSDeviceOGL.cpp
@@ -1197,7 +1197,8 @@ void GSDeviceOGL::StretchRect(GSTexture* sTex, const GSVector4& sRect, GSTexture
 {
 	ASSERT(sTex);
 
-	const bool draw_in_depth = ps == m_convert.ps[static_cast<int>(ShaderConvert::RGBA8_TO_FLOAT32)]
+	const bool draw_in_depth = ps == m_convert.ps[static_cast<int>(ShaderConvert::DEPTH_COPY)]
+	                        || ps == m_convert.ps[static_cast<int>(ShaderConvert::RGBA8_TO_FLOAT32)]
 	                        || ps == m_convert.ps[static_cast<int>(ShaderConvert::RGBA8_TO_FLOAT24)]
 	                        || ps == m_convert.ps[static_cast<int>(ShaderConvert::RGBA8_TO_FLOAT16)]
 	                        || ps == m_convert.ps[static_cast<int>(ShaderConvert::RGB5A1_TO_FLOAT16)];