I wouldn't consider something in Paul's epistles to be necessarily something Jesus said.
He gave his life up so we could have a chance to live. He was the only perfect person ever to exist, and he gave up that status as a sacrifice for our sins. He, a Deity, brought Himself to the level of a sacrificial goat for our sins. There can be no greater love ever to exist then the love that He has for us all.
Except according to the narrative he didn't give up his life - the resurrection was planned, was it not? It's not really a sacrifice if you plan on getting back what you're "sacrificing" in a mere three days, not to mention that for an eternal being to lose a mere three days in its corporeal form doesn't seem like that much of a loss in the grand scheme of things.
Death is death. As a human being, which Jesus was, he experienced the anxiety of death. Holding hope in a resurrection doesn't mean that allowing oneself to suffer and be killed is not a meaningful demonstration of love.