diff --git a/lib/gitlab/github_import/client.rb b/lib/gitlab/github_import/client.rb
index 844530b1ea7c6c0615b5a1efdf5139c5b4247a06..c1c338487a7dfb5db9aeb3d9ce92c0fdb0e37343 100644
--- a/lib/gitlab/github_import/client.rb
+++ b/lib/gitlab/github_import/client.rb
@@ -38,7 +38,14 @@ module Gitlab
       #            otherwise hitting the rate limit will result in a thread
       #            being blocked in a `sleep()` call for up to an hour.
       def initialize(token, per_page: 100, parallel: true)
-        @octokit = Octokit::Client.new(access_token: token, per_page: per_page)
+        @octokit = Octokit::Client.new(
+          access_token: token,
+          per_page: per_page,
+          api_endpoint: api_endpoint
+        )
+
+        @octokit.connection_options[:ssl] = { verify: verify_ssl }
+
         @parallel = parallel
       end
 
@@ -163,8 +170,27 @@ module Gitlab
         octokit.rate_limit.resets_in + 5
       end
 
-      def respond_to_missing?(method, include_private = false)
-        octokit.respond_to?(method, include_private)
+      def api_endpoint
+        custom_api_endpoint || default_api_endpoint
+      end
+
+      def custom_api_endpoint
+        github_omniauth_provider.dig('args', 'client_options', 'site')
+      end
+
+      def default_api_endpoint
+        OmniAuth::Strategies::GitHub.default_options[:client_options][:site]
+      end
+
+      def verify_ssl
+        github_omniauth_provider.fetch('verify_ssl', true)
+      end
+
+      def github_omniauth_provider
+        @github_omniauth_provider ||=
+          Gitlab.config.omniauth.providers
+                .find { |provider| provider.name == 'github' }
+                .to_h
       end
 
       def rate_limit_counter
diff --git a/lib/tasks/import.rake b/lib/tasks/import.rake
index 8e9aef49e8913015d26d3478554082977b621636..943cbe6d80caf552de06e403fe16f8e0e17f13b1 100644
--- a/lib/tasks/import.rake
+++ b/lib/tasks/import.rake
@@ -14,7 +14,9 @@ class GithubImport
   end
 
   def run!
-    @repo = GithubRepos.new(@options, @current_user, @github_repo).choose_one!
+    @repo = GithubRepos
+      .new(@options[:token], @current_user, @github_repo)
+      .choose_one!
 
     raise 'No repo found!' unless @repo
 
@@ -28,7 +30,7 @@ class GithubImport
   private
 
   def show_warning!
-    puts "This will import GitHub #{@repo['full_name'].bright} into GitLab #{@project_path.bright} as #{@current_user.name}"
+    puts "This will import GitHub #{@repo.full_name.bright} into GitLab #{@project_path.bright} as #{@current_user.name}"
     puts "Permission checks are ignored. Press any key to continue.".color(:red)
 
     STDIN.getch
@@ -65,16 +67,16 @@ class GithubImport
         @current_user,
         name: name,
         path: name,
-        description: @repo['description'],
+        description: @repo.description,
         namespace_id: namespace.id,
         visibility_level: visibility_level,
-        skip_wiki: @repo['has_wiki']
+        skip_wiki: @repo.has_wiki
       ).execute
 
       project.update!(
         import_type: 'github',
-        import_source: @repo['full_name'],
-        import_url: @repo['clone_url'].sub('://', "://#{@options[:token]}@")
+        import_source: @repo.full_name,
+        import_url: @repo.clone_url.sub('://', "://#{@options[:token]}@")
       )
 
       project
@@ -93,13 +95,15 @@ class GithubImport
   end
 
   def visibility_level
-    @repo['private'] ? Gitlab::VisibilityLevel::PRIVATE : Gitlab::CurrentSettings.current_application_settings.default_project_visibility
+    @repo.private ? Gitlab::VisibilityLevel::PRIVATE : Gitlab::CurrentSettings.current_application_settings.default_project_visibility
   end
 end
 
 class GithubRepos
-  def initialize(options, current_user, github_repo)
-    @options = options
+  def initialize(token, current_user, github_repo)
+    @client = Octokit::Client
+      .new(access_token: token, auto_paginate: true, per_page: 100)
+
     @current_user = current_user
     @github_repo = github_repo
   end
@@ -108,17 +112,17 @@ class GithubRepos
     return found_github_repo if @github_repo
 
     repos.each do |repo|
-      print "ID: #{repo['id'].to_s.bright}".color(:green)
-      print "\tName: #{repo['full_name']}\n".color(:green)
+      print "ID: #{repo.id.to_s.bright}".color(:green)
+      print "\tName: #{repo.full_name}\n".color(:green)
     end
 
     print 'ID? '.bright
 
-    repos.find { |repo| repo['id'] == repo_id }
+    repos.find { |repo| repo.id == repo_id }
   end
 
   def found_github_repo
-    repos.find { |repo| repo['full_name'] == @github_repo }
+    repos.find { |repo| repo.full_name == @github_repo }
   end
 
   def repo_id
@@ -126,7 +130,7 @@ class GithubRepos
   end
 
   def repos
-    Github::Repositories.new(@options).fetch
+    @client.list_repositories
   end
 end
 
diff --git a/spec/lib/gitlab/github_import/client_spec.rb b/spec/lib/gitlab/github_import/client_spec.rb
index 6bbdf6bf3b63b5dc4d49f3cbd42c515b73f97122..9cbd9bcc14e7de120a0c6ca4ba89de91c83f65f0 100644
--- a/spec/lib/gitlab/github_import/client_spec.rb
+++ b/spec/lib/gitlab/github_import/client_spec.rb
@@ -260,27 +260,106 @@ describe Gitlab::GithubImport::Client do
     end
   end
 
-  describe '#method_missing' do
-    it 'delegates missing methods to the request method' do
-      client = described_class.new('foo')
+  describe '#api_endpoint' do
+    let(:client) { described_class.new('foo') }
+
+    context 'without a custom endpoint configured in Omniauth' do
+      it 'returns the default API endpoint' do
+        expect(client)
+          .to receive(:custom_api_endpoint)
+          .and_return(nil)
+
+        expect(client.api_endpoint).to eq('https://api.github.com')
+      end
+    end
+
+    context 'with a custom endpoint configured in Omniauth' do
+      it 'returns the custom endpoint' do
+        endpoint = 'https://github.kittens.com'
 
-      expect(client).to receive(:milestones).with(state: 'all')
+        expect(client)
+          .to receive(:custom_api_endpoint)
+          .and_return(endpoint)
 
-      client.milestones(state: 'all')
+        expect(client.api_endpoint).to eq(endpoint)
+      end
     end
   end
 
-  describe '#respond_to_missing?' do
-    it 'returns true for methods supported by Octokit' do
-      client = described_class.new('foo')
+  describe '#custom_api_endpoint' do
+    let(:client) { described_class.new('foo') }
 
-      expect(client.respond_to?(:milestones)).to eq(true)
+    context 'without a custom endpoint' do
+      it 'returns nil' do
+        expect(client)
+          .to receive(:github_omniauth_provider)
+          .and_return({})
+
+        expect(client.custom_api_endpoint).to be_nil
+      end
+    end
+
+    context 'with a custom endpoint' do
+      it 'returns the API endpoint' do
+        endpoint = 'https://github.kittens.com'
+
+        expect(client)
+          .to receive(:github_omniauth_provider)
+          .and_return({ 'args' => { 'client_options' => { 'site' => endpoint } } })
+
+        expect(client.custom_api_endpoint).to eq(endpoint)
+      end
     end
+  end
 
-    it 'returns false for methods not supported by Octokit' do
+  describe '#default_api_endpoint' do
+    it 'returns the default API endpoint' do
       client = described_class.new('foo')
 
-      expect(client.respond_to?(:kittens)).to eq(false)
+      expect(client.default_api_endpoint).to eq('https://api.github.com')
+    end
+  end
+
+  describe '#verify_ssl' do
+    let(:client) { described_class.new('foo') }
+
+    context 'without a custom configuration' do
+      it 'returns true' do
+        expect(client)
+          .to receive(:github_omniauth_provider)
+          .and_return({})
+
+        expect(client.verify_ssl).to eq(true)
+      end
+    end
+
+    context 'with a custom configuration' do
+      it 'returns the configured value' do
+        expect(client.verify_ssl).to eq(false)
+      end
+    end
+  end
+
+  describe '#github_omniauth_provider' do
+    let(:client) { described_class.new('foo') }
+
+    context 'without a configured provider' do
+      it 'returns an empty Hash' do
+        expect(Gitlab.config.omniauth)
+          .to receive(:providers)
+          .and_return([])
+
+        expect(client.github_omniauth_provider).to eq({})
+      end
+    end
+
+    context 'with a configured provider' do
+      it 'returns the provider details as a Hash' do
+        hash = client.github_omniauth_provider
+
+        expect(hash['name']).to eq('github')
+        expect(hash['url']).to eq('https://github.com/')
+      end
     end
   end
 end