First of all, a limp is the body's way of protecting itself from pain. So if you still have pain, the limp will still be there. The crutch helps you alleviate the pain as you walk, so you keep using the crutch until there is no pain.
Sometimes people have limped so long and habitually, that it is hard to break the habit now, even with no pain. Some of my PT after my first THR centered on learning how to walk without limping. I was encouraged to walk slowly, with my cane, and concentrate on putting my heel down first and letting the step flow through to the ball of the foot and the toes. Not so slowly as to exaggerate each motion...the idea is to develop a smooth flow. With each progressive day, the motion became more natural and fluid, and my walk naturally increased in speed. I then began trying short periods without the cane; if the motion stayed natural and fluid, I gradually extended the time without the cane. I continued to carry it with me for a few more weeks, because if I did unintentionally push myself too far, the limp would return, and I would need the cane. It's a trial and error process for sure.
It's also good to pay attention to your shoes and whether you have wear on the soles that reflects your old and abnormal gait. You are now trying to change your gait, so you don't want your shoes working against that. I had a raging case of shin splints come on suddenly two months after my first THR. Once I bought new shoes, that was the end of that.
Sharon