It's normal to feel like your mind is getting busier.
In reality you are just becoming aware of how busy your mind actually is.
Try to resist the temptation to follow any thoughts. Simply allow them to dissolve back into the space of your mind, like water bubbles dissolving back into the water from which they arose. Repeat this as many times as necessary until the mind settles on the breath.
Practising patiently in this way, gradually your distracting thoughts will subside and you will experience a sense of inner peace and relaxation. Your mind will feel lucid and spacious and you will feel refreshed.
This meditation can be quite powerful. You can see through your own experience that it is possible to experience inner peace and contentment just by controlling the mind. This feeling of contentment and wellbeing helps you cope with the busyness and difficulties of daily life.