diff --git a/app/models/project_services/issue_tracker_service.rb b/app/models/project_services/issue_tracker_service.rb
index 50435b67eda..eddf308eae3 100644
--- a/app/models/project_services/issue_tracker_service.rb
+++ b/app/models/project_services/issue_tracker_service.rb
@@ -76,7 +76,7 @@ class IssueTrackerService < Service
         message = "#{self.type} received response #{response.code} when attempting to connect to #{self.project_url}"
         result = true
       end
-    rescue HTTParty::Error, Timeout::Error, SocketError, Errno::ECONNRESET, Errno::ECONNREFUSED => error
+    rescue HTTParty::Error, Timeout::Error, SocketError, Errno::ECONNRESET, Errno::ECONNREFUSED, OpenSSL::SSL::SSLError => error
       message = "#{self.type} had an error when trying to connect to #{self.project_url}: #{error.message}"
     end
     Rails.logger.info(message)
diff --git a/app/models/project_services/jira_service.rb b/app/models/project_services/jira_service.rb
index f388773efee..a91a986e195 100644
--- a/app/models/project_services/jira_service.rb
+++ b/app/models/project_services/jira_service.rb
@@ -294,7 +294,7 @@ class JiraService < IssueTrackerService
   def jira_request
     yield
 
-  rescue Timeout::Error, Errno::EINVAL, Errno::ECONNRESET, Errno::ECONNREFUSED, URI::InvalidURIError, JIRA::HTTPError => e
+  rescue Timeout::Error, Errno::EINVAL, Errno::ECONNRESET, Errno::ECONNREFUSED, URI::InvalidURIError, JIRA::HTTPError, OpenSSL::SSL::SSLError => e
     Rails.logger.info "#{self.class.name} Send message ERROR: #{url} - #{e.message}"
     nil
   end
diff --git a/changelogs/unreleased/mrchrisw-catch-openssl.yml b/changelogs/unreleased/mrchrisw-catch-openssl.yml
new file mode 100644
index 00000000000..a8b433fb0cd
--- /dev/null
+++ b/changelogs/unreleased/mrchrisw-catch-openssl.yml
@@ -0,0 +1,4 @@
+---
+title: Rescue OpenSSL::SSL::SSLError in JiraService & IssueTrackerService
+merge_request:
+author: