The Leeds United defender has been linked with a host of Premier League clubs this summer.
Meanwhile, the rebuilding process is yet to take off at Newcastle, with new boss Steve McClaren adding to his backroom staff but finding the going tougher on the playing front.
The former England manager is yet to make his first signing this summer and some fans are growing anxious as pre-season looms.
The arrival of Byram would be a major coup for the Magpies considering the competition for his signature, and his presence along with Daryl Janmaat would provide quality and depth at right-back.
Other areas of the pitch are more of a concern for Newcastle, however, and McClaren will surely look towards attacking reinforcements before finding competition for the impressive Dutchman.
A reliable frontman is critical and the Charlie Austin link continues to persist, with bookies recently making the Magpies favourites for his signature.
While Byram represents a quality addition for whichever club grabs him, the priority at St James' Park should be elsewhere and fans will be hoping for a goal-scoring arrival sooner rather than later.