Yes, the other tree is mentioned, but if there were to be one tree in the midst of the garden, it is clearly the Tree of Life. In chapter 3 Eve said that God said not to eat of the tree in the midst of the garden, which should be the Tree of Life.
Gen 2:9 (KJV)
And out of the ground made the LORD God to grow every tree that is pleasant to the sight, and good for food; the tree of life also in the midst of the garden, and the tree of knowledge of good and evil.
Gen 3:2-3 (KJV)
2 And the woman said unto the serpent, We may eat of the fruit of the trees of the garden: 3 But of the fruit of the tree which is in the midst of the garden, God hath said, Ye shall not eat of it, neither shall ye touch it, lest ye die.
Did God tell Eve, or Adam, not to eat from the Tree of Life? There seems to be some confusion! We won't get the intended message if we just dismiss this. The tension in the details is a perfectly used technique to either allow confusion or clarify truth, which ever way it goes.