diff --git a/lib/puma/client.rb b/lib/puma/client.rb
index 7b013732..fc88cc03 100644
--- a/lib/puma/client.rb
+++ b/lib/puma/client.rb
@@ -265,7 +265,7 @@ module Puma
       return @peerip if @peerip
 
       if @remote_addr_header
-        hdr = (@env[@remote_addr_header] || LOCALHOST_ADDR).split(/[\s,]/).first
+        hdr = (@env[@remote_addr_header] || LOCALHOST_IP).split(/[\s,]/).first
         @peerip = hdr
         return hdr
       end
diff --git a/lib/puma/const.rb b/lib/puma/const.rb
index e4be1c07..c000d326 100644
--- a/lib/puma/const.rb
+++ b/lib/puma/const.rb
@@ -175,7 +175,6 @@ module Puma
     PORT_443 = "443".freeze
     LOCALHOST = "localhost".freeze
     LOCALHOST_IP = "127.0.0.1".freeze
-    LOCALHOST_ADDR = "127.0.0.1:0".freeze
 
     SERVER_PROTOCOL = "SERVER_PROTOCOL".freeze
     HTTP_11 = "HTTP/1.1".freeze