diff --git a/Changes.md b/Changes.md
index b36812d6..f4cdfaa5 100644
--- a/Changes.md
+++ b/Changes.md
@@ -5,6 +5,7 @@
 HEAD
 -----------
 
+- Update gemspec to allow newer versions of the Redis gem [#3617]
 - Refactor Worker.set so it can be memoized [#3602]
 - Fix display of Redis URL in web footer, broken in 5.0.3 [#3560]
 
diff --git a/lib/sidekiq/web/helpers.rb b/lib/sidekiq/web/helpers.rb
index d40c0b30..98ef0360 100644
--- a/lib/sidekiq/web/helpers.rb
+++ b/lib/sidekiq/web/helpers.rb
@@ -148,7 +148,8 @@ module Sidekiq
     end
 
     def redis_connection
-      Sidekiq.redis { |conn| "redis://#{conn.client.location}/#{conn.client.db}" }
+      attrs = Sidekiq.redis { |conn| conn.connection }
+      "redis://#{attrs[:location]}/#{attrs[:db]}"
     end
 
     def namespace
diff --git a/sidekiq.gemspec b/sidekiq.gemspec
index f629c703..85241f52 100644
--- a/sidekiq.gemspec
+++ b/sidekiq.gemspec
@@ -17,7 +17,7 @@ Gem::Specification.new do |gem|
   gem.version       = Sidekiq::VERSION
   gem.required_ruby_version = ">= 2.2.2"
 
-  gem.add_dependency                  'redis', '~> 3.3', '>= 3.3.3'
+  gem.add_dependency                  'redis', '>= 3.3.4', '< 5'
   gem.add_dependency                  'connection_pool', '~> 2.2', '>= 2.2.0'
   gem.add_dependency                  'concurrent-ruby', '~> 1.0'
   gem.add_dependency                  'rack-protection', '>= 1.5.0'