Sky Deutschland says the Reds want to hold onto Firmino and are wary of talk of the Brazil international becoming unsettled.
While interest from Barcelona has been dismissed, there is concern inside Anfield that Firmino is considering his options this season.
Firmino has a contract to 2023 and Liverpool sources have made it clear no-one inside the club wish to see the striker depart.
Instead, there will be an attempt to discuss new terms with the 30 year-old in March.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!