You cannot experience your True Infinite Self and be involved in a thought at the same time. From your True Infinite Self you are aware of all thoughts as well as everything else, but you are not involved in them. Your attention is not caught by them. Your attention is fully on the experience of simply being your True Infinite Self. Nothing else comes close to this experience so it is natural that the sheer bliss of simply experiencing this would capture and hold your attention.
If you want to contract way down to the level of a thought, you can do so at any time. But the more familiar you are with the vast infinite spaciousness of your True Self, the less you choose to do this. it is clearly far more enjoyable to be in this vast infinite presence, this freedom, peace, love and bliss. The more you realize how perfectly and efficiently and effortlessly life unfolds when your attention remains here, the more you trust it and simply live here. As many people realize in the Enlightenment Experience Groups, why would you not?