Speaking to Betway, Robbie Keane said: "I think it's unlikely that we will see too many big-name players moving, with the possible exception being Arsenal.
"If you look at them, they don't have an out-and-out striker who they can rely on. Eddie Nketiah is doing really well for them at the moment, but he's young.
"Missing Gabriel Jesus is massive for them in trying to maintain their title challenge.
"To have a chance of getting over the line ahead of Manchester City, I think they're going to need to go and get someone who could get you 20 a season."
Jesus is currently sidelined with a knee injury after underdoing surgery and it remains to be seen when the Brazilian will be available for selection.
Arsenal were beaten to the signing of Mykhailo Mudryk by Chelsea and the Gunners appear to be content with not doing any business in January.
