diff --git a/rust/Makefile b/rust/Makefile
index 1e78c82a18a87..7dbf9abe0d019 100644
--- a/rust/Makefile
+++ b/rust/Makefile
@@ -93,15 +93,14 @@ quiet_cmd_rustdoc = RUSTDOC $(if $(rustdoc_host),H, ) $<
 # and then retouch the generated files.
 rustdoc: rustdoc-core rustdoc-macros rustdoc-compiler_builtins \
     rustdoc-alloc rustdoc-kernel
-	$(Q)cp $(srctree)/Documentation/images/logo.svg $(rustdoc_output)
-	$(Q)cp $(srctree)/Documentation/images/COPYING-logo $(rustdoc_output)
+	$(Q)cp $(srctree)/Documentation/images/logo.svg $(rustdoc_output)/static.files/
+	$(Q)cp $(srctree)/Documentation/images/COPYING-logo $(rustdoc_output)/static.files/
 	$(Q)find $(rustdoc_output) -name '*.html' -type f -print0 | xargs -0 sed -Ei \
-		-e 's:rust-logo\.svg:logo.svg:g' \
-		-e 's:rust-logo\.png:logo.svg:g' \
-		-e 's:favicon\.svg:logo.svg:g' \
-		-e 's:<link rel="alternate icon" type="image/png" href="[./]*favicon-(16x16|32x32)\.png">::g'
-	$(Q)echo '.logo-container > img { object-fit: contain; }' \
-		>> $(rustdoc_output)/rustdoc.css
+		-e 's:rust-logo-[0-9a-f]+\.svg:logo.svg:g' \
+		-e 's:favicon-[0-9a-f]+\.svg:logo.svg:g' \
+		-e 's:<link rel="alternate icon" type="image/png" href="[/.]+/static\.files/favicon-(16x16|32x32)-[0-9a-f]+\.png">::g'
+	$(Q)for f in $(rustdoc_output)/static.files/rustdoc-*.css; do \
+		echo ".logo-container > img { object-fit: contain; }" >> $$f; done
 
 rustdoc-macros: private rustdoc_host = yes
 rustdoc-macros: private rustc_target_flags = --crate-type proc-macro \