With everything that had happened and with the conclusion he had come with the fact that he had to start preparing for the beginning of the end of this story between him and Lee Jung, he knew he had to start making his move now before Lee Jung reappeared back in Yorkshire city.
As for why he thought Lee Jung would not be in Yorkshire City for the time being... Well, there wouldn't be such a huge coincidence to hide Lee Jung for just a few minutes, right?
If that was the case, then Davies could easily find him after that and would then be able to steal the opportunity that had been prepared for him, making all the previous moves to hide him nothing more than a waste of effort.