Much of security rides on the user. Make wise decisions and remain alert and cautious.
I would say you do not need antivirus software on Linux. But there are many options available for private browsing, port security, identity protection and net surfing for those who prefer more peace of mind.
Generally, I do not use any antivirus on my daily driver running Zorin OS. It uses more resources than it is worth...
Another of my rigs, though, is like an internet stealth tank. It depends on application. 