With the usual glut of fixtures looming over the festive period, it is a time of year that so often makes or breaks teams at both ends of the table.
The run of games - most teams will play as many as five matches in less than three weeks at one stage - takes it toll on even the strongest squads and Arsenal have a distinct lack of options up front.
One of the Premier League's best bargains
The Senegal star cost West Ham just £3.5 million when he signed from Metz last summer and has proved to be one of the best bargains in Premier League history with almost a goal every other game so far in East London.
Many pundits and Arsenal fans feel the club would be wrong to rely on Olivier Giroud to deliver the goals to seal a first league title in 12 years.
There was a lot of disappointment in the summer when Arsene Wenger only signed goalkeeper Petr Cech and it is well known the Frenchman is not a fan of the January window.
But in Sakho they would be buying power, pace and a proven finisher.
And it is not just the Senegal star's goals but his all action performances, chasing and harrying the defenders, running the channels and giving the opposition a torrid time which would make him an ideal signing.
Sakho opens up space for his teammates to exploit and has the potential to forge a frightening partnership with the likes of Mesut Ozil, Alexis Sanchez and Santi Carzola.
Would the Hammers let Sakho leave?
The question is would West Ham let him go?
Since David Sullivan and David Gold took over at their beloved club, West Ham have ceased to be a selling club.
But given the small initial outlay on Sakho and the fact Slaven Bilic has a variety of striking options in his squad, the West Ham heirarchy could well be tempted by a big bid, particularly in the knowledge they must get to the Olympic Stadium next summer debt free.
Every player has their price and if Arsenal so start flexing their financial muscle it could start a conversation.
One thing is for sure, Sakho is certainly worth the money and he could be worth his weight in goals for an Arsenal title tilt too.