diff --git a/.travis.yml b/.travis.yml
index f06c8f7..53d497e 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -14,8 +14,8 @@ before_install:
   - gem install bundler -v "~> 2.0"
 
 gemfile:
-  - gemfiles/rack_2_0.gemfile
-  - gemfiles/rack_1_6.gemfile
+  - gemfiles/rack_2.gemfile
+  - gemfiles/rack_1.gemfile
   - gemfiles/rails_6_0.gemfile
   - gemfiles/rails_5_2.gemfile
   - gemfiles/rails_5_1.gemfile
@@ -33,7 +33,7 @@ matrix:
   allow_failures:
     - rvm: ruby-head
   exclude:
-    - gemfile: gemfiles/rack_1_6.gemfile
+    - gemfile: gemfiles/rack_1.gemfile
       rvm: 2.7.0
     - gemfile: gemfiles/rails_4_2.gemfile
       rvm: 2.7.0
diff --git a/Appraisals b/Appraisals
index 834d201..ef44d14 100644
--- a/Appraisals
+++ b/Appraisals
@@ -1,16 +1,16 @@
 # frozen_string_literal: true
 
-appraise "rack_2_0" do
-  gem "rack", "~> 2.0.4"
+appraise "rack_2" do
+  gem "rack", "~> 2.0"
 end
 
-appraise "rack_1_6" do
+appraise "rack_1" do
   # Override activesupport and actionpack version constraints by making
   # it more loose so it's compatible with rack 1.6.x
   gem "actionpack", ">= 4.2"
   gem "activesupport", ">= 4.2"
 
-  gem "rack", "~> 1.6.9"
+  gem "rack", "~> 1.6"
 
   # Override rack-test version constraint by making it more loose
   # so it's compatible with actionpack 4.2.x
diff --git a/gemfiles/rack_1_6.gemfile b/gemfiles/rack_1.gemfile
similarity index 88%
rename from gemfiles/rack_1_6.gemfile
rename to gemfiles/rack_1.gemfile
index 0cc0050..2390b85 100644
--- a/gemfiles/rack_1_6.gemfile
+++ b/gemfiles/rack_1.gemfile
@@ -4,7 +4,7 @@ source "https://rubygems.org"
 
 gem "actionpack", ">= 4.2"
 gem "activesupport", ">= 4.2"
-gem "rack", "~> 1.6.9"
+gem "rack", "~> 1.6"
 gem "rack-test", ">= 0.6"
 
 gemspec path: "../"
diff --git a/gemfiles/rack_2_0.gemfile b/gemfiles/rack_2.gemfile
similarity index 80%
rename from gemfiles/rack_2_0.gemfile
rename to gemfiles/rack_2.gemfile
index 9915a10..964e087 100644
--- a/gemfiles/rack_2_0.gemfile
+++ b/gemfiles/rack_2.gemfile
@@ -2,6 +2,6 @@
 
 source "https://rubygems.org"
 
-gem "rack", "~> 2.0.4"
+gem "rack", "~> 2.0"
 
 gemspec path: "../"