diff --git a/CHANGELOG b/CHANGELOG
index 32f9ec2ce23..7465230fafe 100644
--- a/CHANGELOG
+++ b/CHANGELOG
@@ -8,6 +8,7 @@ v 8.11.0 (unreleased)
   - Convert switch icon into icon font (ClemMakesApps)
   - Remove magic comments (`# encoding: UTF-8`) from Ruby files. !5456 (winniehell)
   - Add support for relative links starting with ./ or / to RelativeLinkFilter (winniehell)
+  - Ignore URLs starting with // in Markdown links !5677 (winniehell)
   - Fix CI status icon link underline (ClemMakesApps)
   - The Repository class is now instrumented
   - Cache the commit author in RequestStore to avoid extra lookups in PostReceive
diff --git a/lib/banzai/filter/relative_link_filter.rb b/lib/banzai/filter/relative_link_filter.rb
index 5b73fc8fcee..46762d401fb 100644
--- a/lib/banzai/filter/relative_link_filter.rb
+++ b/lib/banzai/filter/relative_link_filter.rb
@@ -35,6 +35,7 @@ module Banzai
 
       def process_link_attr(html_attr)
         return if html_attr.blank?
+        return if html_attr.value.start_with?('//')
 
         uri = URI(html_attr.value)
         if uri.relative? && uri.path.present?
@@ -92,7 +93,7 @@ module Banzai
         parts = request_path.split('/')
         parts.pop if uri_type(request_path) != :tree
 
-        path.sub!(%r{^\./}, '')
+        path.sub!(%r{\A\./}, '')
 
         while path.start_with?('../')
           parts.pop
diff --git a/spec/lib/banzai/filter/relative_link_filter_spec.rb b/spec/lib/banzai/filter/relative_link_filter_spec.rb
index 224baca8030..bda8d2ce38a 100644
--- a/spec/lib/banzai/filter/relative_link_filter_spec.rb
+++ b/spec/lib/banzai/filter/relative_link_filter_spec.rb
@@ -84,6 +84,11 @@ describe Banzai::Filter::RelativeLinkFilter, lib: true do
         to eq "/#{project_path}/blob/#{ref}/doc/api/README.md"
     end
 
+    it 'ignores absolute URLs with two leading slashes' do
+      doc = filter(link('//doc/api/README.md'))
+      expect(doc.at_css('a')['href']).to eq '//doc/api/README.md'
+    end
+
     it 'rebuilds relative URL for a file in the repo' do
       doc = filter(link('doc/api/README.md'))
       expect(doc.at_css('a')['href']).