Rafa Benítez's side have enjoyed an impressive first campaign back in the top flight and will round off their fixtures against last season's champions.
Kick-off is at 3pm (BST) on Sunday, 13th May.
Tickets for the category AA fixture went on sale to members at 10am on Thursday 19th April, selling out by Friday morning.
To buy tickets for other fixtures, please visit tickets.nufc.co.uk, call 0844 372 1892 (calls cost 7p per minute plus your network access charge) or visit the St. James' Park box office (Milburn Stand) in person.