What's your volume? How often are you doing bench, and how many total reps are you doing?
One thing you might try is do your 3 sets of 5 (or whatever you're going for) at the working weight, and if you come up short, go for an extra set (of however many reps you can do) to try to make up the volume, and/or take 10-20% off and do a couple of sets with higher reps going to failure (or near failure, if you don't have a spotter around). I would try this approach before deloading, as programs would suggest after a few consecutive failures to make progress.
I have also found with myself, I just need to do the exercise more often. Those programs might have you bench 3 times over 2 weeks, and I find that I just don't make as much progress that way, I do better when I'm doing it more often.