diff --git a/.rubocop.yml b/.rubocop.yml
index ba75512c..5b3a55ba 100644
--- a/.rubocop.yml
+++ b/.rubocop.yml
@@ -6,7 +6,6 @@ AllCops:
   DisabledByDefault: false
   TargetRubyVersion: 2.4
   Exclude:
-      - 'capybara.gemspec'
       - 'vendor/**/*'
       - 'gemfiles/vendor/**/*'
 
@@ -29,6 +28,7 @@ Metrics/BlockLength:
   Exclude:
     - 'spec/**/*'
     - 'lib/capybara/spec/**/*'
+    - 'capybara.gemspec'
 
 Metrics/AbcSize:
   Enabled: false
@@ -107,6 +107,10 @@ Style/NumericLiterals:
     - 'lib/capybara/spec/**/*'
     - 'spec/**/*'
 
+Style/SpecialGlobalVars:
+  Exclude:
+    - 'capybara.gemspec'
+
 Layout/EmptyLineBetweenDefs:
   AllowAdjacentOneLineDefs: true
 
@@ -148,9 +152,6 @@ RSpec/NestedGroups:
 RSpec/DescribeClass:
   Enabled: false
 
-RSpec/AnyInstance:
-  Enabled: false
-
 RSpec/FilePath:
   Enabled: false
 
diff --git a/capybara.gemspec b/capybara.gemspec
index 7024d0b7..dee36538 100644
--- a/capybara.gemspec
+++ b/capybara.gemspec
@@ -13,7 +13,8 @@ Gem::Specification.new do |s|
 
   s.authors = ['Thomas Walpole', 'Jonas Nicklas']
   s.email = ['twalpole@gmail.com', 'jonas.nicklas@gmail.com']
-  s.description = 'Capybara is an integration testing tool for rack based web applications. It simulates how a user would interact with a website'
+  s.description = 'Capybara is an integration testing tool for rack based web applications. '\
+                  'It simulates how a user would interact with a website'
 
   s.files = Dir.glob('{lib,spec}/**/*') + %w[README.md History.md License.txt]
 
@@ -23,7 +24,8 @@ Gem::Specification.new do |s|
     'source_code_uri' => 'https://github.com/teamcapybara/capybara'
   }
   s.require_paths = ['lib']
-  s.summary = 'Capybara aims to simplify the process of integration testing Rack applications, such as Rails, Sinatra or Merb'
+  s.summary = 'Capybara aims to simplify the process of integration testing Rack applications, '\
+              'such as Rails, Sinatra or Merb'
 
   s.add_runtime_dependency('addressable')
   s.add_runtime_dependency('mini_mime', ['>= 0.1.3'])
diff --git a/lib/capybara/spec/session/assert_current_path_spec.rb b/lib/capybara/spec/session/assert_current_path_spec.rb
index b532c094..9f80342d 100644
--- a/lib/capybara/spec/session/assert_current_path_spec.rb
+++ b/lib/capybara/spec/session/assert_current_path_spec.rb
@@ -37,7 +37,9 @@ Capybara::SpecHelper.spec '#assert_current_path' do
   end
 
   it 'should not cause an exception when current_url is nil' do
-    allow_any_instance_of(Capybara::Session).to receive(:current_url).and_return(nil)
+    allow(@session).to receive(:current_url).and_return(nil)
+    allow(@session.page).to receive(:current_url).and_return(nil) if @session.respond_to? :page
+
     expect { @session.assert_current_path(nil) }.not_to raise_error
   end
 end
@@ -65,7 +67,8 @@ Capybara::SpecHelper.spec '#assert_no_current_path?' do
   end
 
   it 'should not cause an exception when current_url is nil' do
-    allow_any_instance_of(Capybara::Session).to receive(:current_url).and_return(nil)
+    allow(@session).to receive(:current_url).and_return(nil)
+    allow(@session.page).to receive(:current_url).and_return(nil) if @session.respond_to? :page
 
     expect { @session.assert_no_current_path('/with_html') }.not_to raise_error
   end
diff --git a/lib/capybara/spec/session/find_spec.rb b/lib/capybara/spec/session/find_spec.rb
index 8378285d..75a2d57c 100644
--- a/lib/capybara/spec/session/find_spec.rb
+++ b/lib/capybara/spec/session/find_spec.rb
@@ -107,8 +107,8 @@ Capybara::SpecHelper.spec '#find' do
     end
 
     it 'should warn if passed a non-valid locator type' do
-      expect_any_instance_of(Kernel).to receive(:warn).with(/must respond to to_xpath or be an instance of String/)
-      expect { @session.find(:xpath, 123) }.to raise_error Exception # The exact error is not yet well defined
+      expect { @session.find(:xpath, 123) }.to raise_error(Exception) # The exact error is not yet well defined
+        .and output(/must respond to to_xpath or be an instance of String/).to_stderr
     end
   end
 
@@ -263,9 +263,8 @@ Capybara::SpecHelper.spec '#find' do
     end
 
     it 'warns when the option has no effect' do
-      expect_any_instance_of(Kernel).to receive(:warn)
-        .with('The :exact option only has an effect on queries using the XPath#is method. Using it with the query "#test_field" has no effect.')
-      @session.find(:css, '#test_field', exact: true)
+      expect { @session.find(:css, '#test_field', exact: true) }.to \
+        output(/^The :exact option only has an effect on queries using the XPath#is method. Using it with the query "#test_field" has no effect/).to_stderr
     end
   end
 
diff --git a/lib/capybara/spec/session/has_current_path_spec.rb b/lib/capybara/spec/session/has_current_path_spec.rb
index e41b2653..3c1cf956 100644
--- a/lib/capybara/spec/session/has_current_path_spec.rb
+++ b/lib/capybara/spec/session/has_current_path_spec.rb
@@ -81,7 +81,8 @@ Capybara::SpecHelper.spec '#has_current_path?' do
   end
 
   it 'should not raise an exception if the current_url is nil' do
-    allow_any_instance_of(Capybara::Session).to receive(:current_url).and_return(nil)
+    allow(@session).to receive(:current_url).and_return(nil)
+    allow(@session.page).to receive(:current_url).and_return(nil) if @session.respond_to? :page
 
     # Without ignore_query option
     expect do
@@ -121,7 +122,8 @@ Capybara::SpecHelper.spec '#has_no_current_path?' do
   end
 
   it 'should not raise an exception if the current_url is nil' do
-    allow_any_instance_of(Capybara::Session).to receive(:current_url).and_return(nil)
+    allow(@session).to receive(:current_url).and_return(nil)
+    allow(@session.page).to receive(:current_url).and_return(nil) if @session.respond_to? :page
 
     # Without ignore_query option
     expect do
diff --git a/lib/capybara/spec/session/matches_style_spec.rb b/lib/capybara/spec/session/matches_style_spec.rb
index 3d514c9c..ec8a7a47 100644
--- a/lib/capybara/spec/session/matches_style_spec.rb
+++ b/lib/capybara/spec/session/matches_style_spec.rb
@@ -24,8 +24,8 @@ Capybara::SpecHelper.spec '#matches_style?', requires: [:css] do
   end
 
   it 'deprecated has_style?' do
-    expect_any_instance_of(Kernel).to receive(:warn).once
-    have_style(display: /^bl/)
+    expect { have_style(display: /^bl/) }.to \
+      output(/have_style is deprecated/).to_stderr
 
     el = @session.find(:css, '#first')
     allow(el).to receive(:warn).and_return(nil)
diff --git a/lib/capybara/spec/session/select_spec.rb b/lib/capybara/spec/session/select_spec.rb
index 40735275..cb6c5ae5 100644
--- a/lib/capybara/spec/session/select_spec.rb
+++ b/lib/capybara/spec/session/select_spec.rb
@@ -143,8 +143,8 @@ Capybara::SpecHelper.spec '#select' do
     end
 
     it 'should warn' do
-      expect_any_instance_of(Capybara::Node::Element).to receive(:warn).once
-      @session.select('Other', from: 'form_title')
+      expect { @session.select('Other', from: 'form_title') }.to \
+        output(/^Attempt to select disabled option: Other/).to_stderr
     end
   end
 
diff --git a/spec/rack_test_spec.rb b/spec/rack_test_spec.rb
index f0827892..18321876 100644
--- a/spec/rack_test_spec.rb
+++ b/spec/rack_test_spec.rb
@@ -80,11 +80,11 @@ RSpec.describe Capybara::Session do # rubocop:disable RSpec/MultipleDescribes
 
     describe '#fill_in' do
       it 'should warn that :fill_options are not supported' do
-        allow_any_instance_of(Capybara::RackTest::Node).to receive(:warn)
         session.visit '/with_html'
-        field = session.fill_in 'test_field', with: 'not_monkey', fill_options: { random: true }
+
+        expect { session.fill_in 'test_field', with: 'not_monkey', fill_options: { random: true } }.to \
+          output(/^Options passed to Node#set but the RackTest driver doesn't support any - ignoring/).to_stderr
         expect(session).to have_field('test_field', with: 'not_monkey')
-        expect(field.base).to have_received(:warn).with("Options passed to Node#set but the RackTest driver doesn't support any - ignoring")
       end
     end
 
diff --git a/spec/result_spec.rb b/spec/result_spec.rb
index a0048ae0..f5f79001 100644
--- a/spec/result_spec.rb
+++ b/spec/result_spec.rb
@@ -85,25 +85,6 @@ RSpec.describe Capybara::Result do
     expect(result.size).to eq 1
   end
 
-  it 'should catch invalid element errors during filtering' do
-    allow_any_instance_of(Capybara::Node::Simple).to receive(:text).and_raise(StandardError)
-    allow_any_instance_of(Capybara::Node::Simple).to receive(:session).and_return(
-      instance_double('Capybara::Session', driver: instance_double('Capybara::Driver::Base', invalid_element_errors: [StandardError], wait?: false))
-    )
-    result = string.all('//li', text: 'Alpha')
-    expect(result.size).to eq 0
-  end
-
-  it 'should return non-invalid element errors during filtering' do
-    allow_any_instance_of(Capybara::Node::Simple).to receive(:text).and_raise(StandardError)
-    allow_any_instance_of(Capybara::Node::Simple).to receive(:session).and_return(
-      instance_double('Capybara::Session', driver: instance_double('Capybara::Driver::Base', invalid_element_errors: [ArgumentError], wait?: false))
-    )
-    expect do
-      string.all('//li', text: 'Alpha').to_a
-    end.to raise_error(StandardError)
-  end
-
   # Not a great test but it indirectly tests what is needed
   it 'should evaluate filters lazily for idx' do
     skip 'JRuby has an issue with lazy enumerator evaluation' if jruby_lazy_enumerator_workaround?
diff --git a/spec/spec_helper.rb b/spec/spec_helper.rb
index 0ef0403a..de674ce4 100644
--- a/spec/spec_helper.rb
+++ b/spec/spec_helper.rb
@@ -67,6 +67,9 @@ RSpec.configure do |config|
   config.expect_with :rspec do |expectations|
     expectations.syntax = :expect
   end
+  config.mock_with :rspec do |mocks|
+    mocks.verify_partial_doubles = true
+  end
   config.filter_run_including focus_: true unless ENV['CI']
   config.run_all_when_everything_filtered = true
   config.after(:suite) { SeleniumStatistics.print_results }