Assuming your diet is on point, then yes, you should change program to avoid adapting to it.
Trying to lose weight is somewhat different to trying to get strong (though yes, you can do both at the same time to a certain degree). Whereas getting stronger is all about increasing the efficiency of the exercise, be it tweaks to your form or the ability to recruit more of your fast twitch muscle fibres through CNS adaptation, losing weight is more about inefficiency.
To quote Dan John, the more you suck, the leaner you get (damn, that looks like click-bait if ever I heard it...)
When you do an inefficient exercise, your body struggles because it doesn't know the best way to respond to the demands placed upon it, so you'll use more energy (burn more calories) because you'll be using more muscles in unfamiliar ways (think, when Lance Armstrong ran the New York City Marathon. Despite being possibly one of the fittest guys on the planet, he finished 856th).
You're training and getting stronger, which is fantastic, and is, in of itself, a form of inefficiency (adding more external load changes the demands on your body), so by increasing the weight you're lifting, you'll be getting stronger and burning more calories (muscle has a higher metabolic demand than fat).
So, should you change your program to avoid adaptation? It depends...
Since you're getting stronger and losing weight on your current program, and are enjoying it, then I'd stick with it for the time being. Enjoyment is often an overlooked factor in losing weight and getting fit; it's very hard to stick at something when you don't enjoy it, your motivation just fades out, despite best intentions.
If your weight loss starts to plateau, then you can either play around with adding finishers to the end of your workouts (kettlebell swings or jump rope intervals are great for this), or try changing up the exercises your doing to increase the inefficiency of the exercise (swap from barbells to dumbbells for instance). Changing up the exercises in this way won't have as greater impact as throwing in something you're completely unfamiliar with, but it can eke out a little more from a program you're enjoying.