Can I Wear Tight Caps 1 Month After Hair Transplant?

In most cases, transplanted grafts are securely rooted no later than ten days post-surgery. Thus, wearing a tight cap a full month after hair transplant should be okay. As one doctor said below, make sure it’s not so tight that it cuts off blood circulation to the scalp. Worn too tightly and too often it could inhibit graft growth or even result in traction hair loss.

If there is no choice then not much you can do, right?  You can wear hats but how "tight" you wear it is very subjective.  If you are concerned always follow up with your doctor

You should be OK if it's truly one month after a hair transplant, consult your surgeon for further confirmation.