This task can be performed using Hublead
HubSpot LinkedIn Integration
Best product for this task

Hublead
marketing
Our HubSpot LinkedIn extension will help you to import contacts, sync conversations & invitations with just one click—right from LinkedIn or Sales Navigator.
SalesMarketingProductivityLinkedIn IntegrationHubSpot CRMSales AutomationLead GenerationData EnrichmentChrome ExtensionSales Navigator Sync

What to expect from an ideal product
- Adds a sync button right on LinkedIn chats to copy messages to HubSpot
- Automatically imports LinkedIn contact details to HubSpot when syncing
- Keeps track of connection requests and responses in HubSpot
- Works with both regular LinkedIn and Sales Navigator interfaces
- Syncs entire conversation history with a single click from LinkedIn