Dr Toft of the BTA says that:-
"The appropriate dose of levothyroxine is that which restores euthyroidism and serum TSH to the lower part of the reference range - 0.2-0.5mU/l.
In this case, free thyroxine is likely to be in the upper part of its reference range or even slightly elevated – 18-22pmol/l. Most patients will feel well in that circumstance.
But some need a higher dose of levothyroxine to suppress serum TSH and then the serum-free T4 concentration will be elevated at around 24-28pmol/l."
He also goes on to say that if the patient is still complaining an addition of 10mcg T3 could be tried with a 50mcg reduction of levo.
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This is an extract and it made me wonder if you are on the correct medication as you are on levo and still falling asleep although this person was undiagnosed at first:-
I became increasingly tired and fatigued, and chalked it up to stress and tried to deal with it. Nothing doing, though, and things got bad. Even though I was getting 10+ hours of sleep a night and felt fine as long as I was moving, I got drowsy and would fall asleep whenever I tried to sit still and concentrate.