Eddie Howe's Cherries are on a good run, having gone four games without defeat in all competitions.
Read on for details of how to watch the match, followed by team news and a preview.
Date: Sunday, January 14
Time: 1:30 p.m. (GMT)/8.30 a.m. (ET)
TV Info: Sky Sports (UK), NBC (U.S.)
Bournemouth remain without striker Jermain Defoe, who is recovering from a fractured ankle, while forward Josh King has an "outside chance" of featuring, according to Howe, per Neil Perrett at the Bournemouth Daily Echo.
Arsenal have doubts over midfielder Jack Wilshere, who was forced off during Wednesday's Carabao Cup semi-final first-leg draw with Chelsea.
However, Wilshere said via Twitter the injury is not too bad and that he should be back soon:
The game may also come too soon for injured quartet Sead Kolasinac, Laurent Koscielny, Aaron Ramsey and Mesut Ozil to return.
Arsenal have endured a curious week, having been dumped out of the FA Cup by Championship side Nottingham Forest before recording a creditable goalless draw at Stamford Bridge in the first leg of their Carabao Cup semi-final.
However, Arsenal must refocus on the Premier League, as they head into the gameweek in sixth place, five points behind Liverpool in fourth.
Wenger's side can ill-afford any more slip-ups if they are to secure a top-four spot and, with it, a return to the UEFA Champions League.
Sam Joiner at The Times said Arsenal's FA Cup exit could have a positive side:
Sam Joiner @samjoiner
Only positive of going out the FA Cup is that Arsenal can focus on the Europa League and top four without distraction. Managing all 3 with this squad would have led to failure in all of them. We've won the FA Cup in 3 of the last 4 years – CL football is more important this year
The Gunners may also have fond memories of the corresponding fixture last season, which was a cracker, as the Premier League showed via Twitter:
That match may tempt Bournemouth into taking the game to Arsenal, who have looked vulnerable defensively, although they were much improved against Chelsea, per Football.London's Charles Watts:
Arsenal will also need to get Alexandre Lacazette firing, as the striker has not scored in his past seven Premier League outings.