I don't think it does, however I'm sure scholars would be able to argue the contrary. Eckhart is not a follower of any one region however he quotes The Bible a lot. He also draws on other religions, especially Buddhism. I personally think he is spot on with his ascertains about the nature the self, ego and awareness from a deeper essence - Christians may call the Spirit. Hope this helps. Christianity Today has a good article on this very subject.
I think this book highlights the essence of Christianity and does a fantastic job of allowing the reader to experience that joy daily. He interprets scripture in a new, more meaningful light, and as you read and apply Tolles steps, it becomes easier to experience our link to that essence.
Christ was one thing, Christianity is an altogether different one I'm afraid. If he came back (and he hasn't yet as far as I can tell) the historical Christ would have difficulty recognizing his teachings and what they stood for in the self-serving, controlling power structures and ritual paraphernalia that have grown up in his place over two millennia.
It's a good thing to have someone like Tolle who tries to bring us all back to basics, the essence, free from conditioning, mythologizing, conceptualization and dogma and other empty trappings of organised religion that are little more than a travesty of the 'original' teachings.
The original question suggests that there is conflict, which in and of itself implies that both the essence of Christ's teachings and those of Tolle may not be well understood. In this state of Now one experiences the "presence." As one aligns with the teachings of Christ one also experiences the "presence." This experience is inevitable for those on the path who surrender to the present and give up the illusion of controlling anything. Alignment with this "presence" is in fact the whole point of Christianity. Unfortunately, many tickling their way along the path mistake ritual for essence and grasp for rules and knowledge rather than personal experience. Seek to align with the teachings you believe. When you do you will eventually experience Now. Clarity arises when in this state. In this clarity you will discover that there is no conflict. All must pass through this state of Now along the path.