The problem with taking the stance that the Roman Catholic and Eastern Orthodox Churches must be unified to “be one” is that you’re leaving out a considerable number of Christians. What about the Oriental Orthodox? What about the Old Believers? What about the Old Calanderists? What about the Protestants?
The fact is that both Catholic and Orthodox dogma is that the Church is One, and any other groups are in schism from the true Church, and if your belief is that the two must be joined for the Church to be “One”, then I must ask what you think of these other groups? While I cannot speak for Catholics, the Orthodox attitude to those who come to the Church is one a joy (I get the feeling this is true of Catholics as well, but as I said, I’m in no place to speak for them). The Orthodox Church has missionaries all over the world, trying to fullfill Christ’s last command that we preach the gospel to all the world.
So no, there is no urgency in being one again because the Church has never not been one. Perhaps Communion between the Churches would make the job of seekers easier - I know it would have helped me out - but ultimately even with communion they will still have to sort through fifty million denominations, the only difference will be that the two largest Communions will be one.