They've both been closed for a number of months as part of the tram extension.
Council chiefs have confirmed the roadworks will be lifted by this afternoon.
The routes were due to re-open on Monday January 21 but the date was pushed back five weeks to the end of February.
Cllr. Gillian Campbell, deputy leader of the council, said:
“I am delighted to confirm the Promenade and Talbot Road will re-open on Friday afternoon.
“There is still work to be completed on the footways but this will not impact on the roads and we will remove all associated barriers and signage as soon as possible.
“The roads will re-open as soon as it is safe to do so on Friday but we expect everything to be fully open by the afternoon.
“I would like to thank all of the residents, businesses and visitors who have been inconvenienced as result of these works.
The stretch of carriageway between West Street and Queens Square has been closed in November last year while work has been carried out to lay new tram tracks between North Pier and North Station.
The new tramway is due to become operational by the end of 2020.