Yes, right away, and test different configurations on each side of the pillow. Experimenting with different pillow heights and types can help you find the best option for you. A pillow that is too high or too low can cause strain on the neck and lead to discomfort or pain.
A good rule of thumb is: If you use a pillow that keeps your spine in a neutral position, your muscles will still feel relaxed after 10 minutes. Your neck and head are in alignment with the rest of the body. This can vary for different sleep positions, for example, side sleepers may prefer a thicker pillow to keep the spine aligned, while stomach and back sleepers may prefer a thinner pillow.