The 19-year-old England youth international is set to join Cherries on a month's loan.
Boss Eddie Howe has been keen to bolster his resources ahead of Cherries' League One double-header against Carlisle and Exeter.
Howe has major doubts over the fitness of defenders Lee Bradbury and Stephen Purches, with the pair both having failed to train so far this week.
Smith has progressed through the ranks at White Hart Lane and served Wycombe and Torquay on loan last season.
FOR THE FULL STORY, SEE TOMORROW'S ECHO.