The Magpies topped Group D with four wins and a draw from six games, while the Cherries had to see off Wigan in a qualifier before finishing second behind Wolverhampton Wanderers in Group C.
Friday's Round of 16 tie will be played at Whitley Park in Benton and must be decided on the day, with extra-time and penalties if required.
Winger Victor Fernandez and goalkeeper Nathan Harker have travelled to Newcastle's four-day training camp in Spain.
Admission is free for season ticket holders and members, otherwise it's £3 for adults and £1 concessions.