We often think of eternal life as something God will give us in the future. But the fact is, Jesus said that those who believe in him, those who eat his flesh and drink his blood have already entered into eternal life. Maybe we tend to limit our concept of eternal life to the future because the words eternal life sound like something we don't yet have. After all, we are still mortal, and we know we are going to die before we receive immortality. But eternal life and immortality are not the same thing.
Immortality refers to our physical bodies.
At the resurrection, our mortal bodies will be changed to immortal. When we became believers, we passed from death to life. We entered into the new life, the life of the age to come. That life, which is a life of joy and self-sacrificial love in the power of God, will fill all the universe after Jesus returns. And it has already begun in his believers.