Have you ever watched tennis players before the game starts?
What you probably don’t see before they get on the court is their general warm up phase. It will likely include a light jog and various large movements of all parts of the body, not fast and not intense. This raises the temperature of the blood which means it flows faster to the working muscle leading to lubrication of the appropriate moving joints.
What we then see when they get on the court and before the call of the umpire to start the match is the specific warm up phase. They go through all the strokes that they will be performing in the game in slow and deliberate form and then with each passing minute slightly upping the ante.
What they are trying to do is arrive at the beginning of the match ready for maximum action. The point I am getting to is that your workout should be prepared for in a similar fashion.
Try this next time you are in the gym about to do a progressive strength workout.