The two sides drew 0-0 in the fourth round tie at St. James' Park on Saturday.
Steve Bruce's side face a replay at the Kassam Stadium, but both sides will learn who they would face should they win when the teams meet again when the fifth round draw takes place 7:19pm on The One Show.
The draw will be featured as part of The Emirates FA Cup Show, hosted by Spencer Owen and Jules Breach, which will also include highlights from the weekend's fixtures in the competition.
As well as being shown on The One Show, The Emirates FA Cup Show will be broadcast live on the @EmiratesFACup Twitter account from 6.45pm on Monday.
All fifth round ties are scheduled to be played in midweek during the week beginning Monday, 2nd March, with no replays. Should the scores be level after 90 minutes, extra time and, if necessary, penalties will be used to determine which side progresses to the last eight.