United were due to travel to South Wales on 3rd November 2017, but the game at Landore Training Ground will now be played on Monday, 12th February 2018 (kick-off 1pm).
That was the original date for the return game between the two sides, at Whitley Park, and that has now been brought forward to Wednesday, 29th November. That match also kicks off at 1pm.
Newcastle kicked off their Premier League Cup campaign with a home game against Burnley on Friday, but despite taking a 2-0 lead, ended up losing 4-3.
As well as Swansea, Burnley and the Magpies, Colchester United are the other side in Group D, with each side facing each other home and away.
See Newcastle's full under-23 fixture list here.