The 24-year-old has been absent for the Cherries' past two games - back-to-back wins over Brighton & Hove Albion in league and cup - and will remain out until after the international break.
"Tyrone will miss out this weekend," Howe told reporters. "Unfortunately, Tyrone has got a back problem. We thought it would be manageable with treatment, unfortunately he'll be out for a period of time.
"He'll see a specialist and it has been recommended that he has a month's rest on the sidelines. It will be interesting to see how that rest affects his back, he has pain in one area so hopefully the rest should cure it.
"With the international break, he could miss three or four games maximum."
Howe has been given an injury boost by the return to action of Junior Stanislas, however, who played an hour on his return from a layoff against Brighton in midweek.
"Apart from Tyrone we're OK," the Cherries boss added. "Junior came through the game on Tuesday OK which is a big boost. We don't have any other injury problems."
Bournemouth, who are currently 19th in the Premier League table, are in action this weekend with a trip to face Everton at Goodison Park.