Crystal Palace take on Sunderland on Tuesday evening.
He said: “Immediately they [Palace] dust themselves off and get back on the pitch, and try to get a result against Sunderland which will be very, very tough, because Sunderland have started picking up points lately. All of a sudden, then, if they lose that game, they are in a relegation scrap.”
Palace travel to the Stadium of Light on the back of a defeat at the hands of West Brom, and without a win to their name since December 19.
They are eight points clear of the bottom three, but in their current form, it would not be a shock to see them fall closer to the relegation places as the season wears on.
Palace take on Sunderland on Wearside on Tuesday evening, with the Black Cats themselves in a relegation scrap.
They are on 23 points, and a win for the Black Cats against Palace could lift them out of the bottom three, and Collymore believes that Palace will find themselves dragged into a relegation battle if they lose to Sunderland.
It has been a poor 2016 for the Eagles, and another defeat this week would make the rest of the season a fraught experience.