The League Two pacesetters won 5-0 on the other side of the Tyne on Sunday – against Gateshead – with Olly and Elliot Lee – sons of former United midfielder Rob – both on target at the International Stadium.
The Magpies and Luton have met on four previous occasions in the FA Cup. When they were last paired together – during the 1993/94 campaign – the Hatters progressed following a replay.
Ticket details will be announced on nufc.co.uk in due course.