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.  

The most important is your cap is not to thight and reduce your blood circulation, your grafts needs to have oxygen. Baseball cap can be suitable for that, because they're not touching your grafts and not reducing your blood circulation .

As long as the tight area of the cap doesn't push against the grafts it's probably ok, but remember these new grafts need plenty of blood flow to grow.  You don't want the cap too tight to restrict blood flow.