Have you done a web search about hematoma?
If you see another dr for the hematoma, especially if it doesn't start to fade away in time, he wouldn't necessarily need to know about TOS, as long as nothing he tries would aggravate TOS.
Here's some info below-
[In most cases the sac of blood or hematoma eventually dissolves; however, in some cases they may continue to grow or show no change. If the sac of blood does not disappear, then it may need to be surgically removed. Hematomas can occur when heparin is given via an intramuscular route; to avoid this, heparin must be given intravenously or subcutaneously.
The slow process of reabsorption of hematomas can allow the broken down blood cells and hemoglobin pigment to move in the connective tissue. For example, a patient who injures the base of his thumb might cause a hematoma, which will slowly move all through the finger within a week. Gravity is the main determinant of this process.
Hematomas on articulations can reduce mobility of a member and present roughly the same symptoms as a fracture.
In most cases, movement and exercise of the affected muscle is the best way to introduce the collection back into the blood stream.]
the full article-