Jimenez has played in every Premier League match for the Cherries since November, starting all but one of those matches as he became an essential part of Andoni Iraola's side.
However, the 21-year-old will not feature in Saturday's game against Fulham at Craven Cottage, as confirmed by the club on Friday afternoon.
"AFC Bournemouth are aware of posts circulating on social media involving right-back, Alex Jimenez.
"The club understand the seriousness of the matter, and it is currently being investigated.
"As a result, Alex will not be included in the squad for tomorrow's Premier League game against Fulham, and the club will be making no further comment at this time."
This comes after screenshots and videos were leaked of an alleged conversation with a 15-year-old.
Bournemouth are in sixth place in the table with three games to play as they chase down European football.