Assuming that you only had a test for TSH, it is important for you to know that when taking a full daily dose of T4 med, the equilibrium among TSH, Free T4 and Fee T3 is significantly changed, and most frequently when the dosage is adequate, TSH is suppressed below range. Most doctors don't understand that and erroneously try to keep a patient's TSH within range. That doesn't work for most hypo patients. You really should make sure they always test for the biologically active thyroid hormones, Free T4 and Free T3, not just TSH. Many of us have found through experience that we felt best when Free T4 was around mid-range, and Free T3 was in the upper third of its range, or as needed to relieve symptoms.
In addition, hypothyroidism is not as usually assumed: "insufficient thyroid hormone", that is accurately detected by the pituitary, which then produces appropriate amounts of TSH. Instead, hypothyroidism is correctly defined as "insufficient T3 effect in tissue throughout the body due to inadequate supply of, or response to, thyroid hormone. There are many additional processes and variables that affect the supply of and response to thyroid hormone. The resultant TISSUE T3 EFFECT determines a patient's thyroid status. So in addition to testing for FT4 and FT3, you should also test for and assure they are optimal: Reverse T3, cortisol, Vitamin D, B12 and ferritin.
If you want to confirm what I have said, please click on my name and then scroll down to my Journal and read at least the Overview of a paper on Diagnosis and Treatment of Hypothyroidism: A Patient's Perspective.
It is an indication that your med dosage is inadequate. What is your daily dosage? What, if any, symptoms do you have? Have you been tested for the actual biologically active thyroid hormones, Free T4 and Free T3? Also, hypothyroid patients are frequently deficient in Vitamin D, B12 and ferritin. Have you been tested for those?