Yes, the danger with a sprain is the 'next' sprain. It can take a very long period of time for a sprained ankle to recover and frankly may never be 100%. One of the biggest mistakes people make is to either go back to regular activity too soon, or to assume they are OK and then the re-sprain the ankle, often catastrophically, because in it's weakened condition, it simple gives way at an instant of stress.
Even after you 'recover', continue to either tape the ankle before any physical activity, or wear a high quality lace up (perhaps perscribed by your physician). Know this: the ankle will give way on you again, but the brace/tape will mean you just suffer an embarrassing fall and some road rash instead of being back on crutches again.
My son sprained his ankle his freshman year playing basketball. Not bad enough to warrant crutches, just a moderate sprain that had to take it easy for a couple weeks. That spring playing baseball, he still wore a lace-up brace every practice & game. Then one game he crushes a ball to CF at a Frosh field with no fence and it runs. He's thinking HR, turning the bags and when he hits 2B the ankle just gave and he plowed a trench with his face out to the short stop, got up and hobbled over to 3B for a triple. After he walked it off, he was fine ... the brace did it's job. Without the brace he probably would have broken the ankle. He stopped wearing the brace after his frosh season and hasn't had any recurring issues since. But at that time that brace meant the difference between a short-term recovery for a modest sprain his freshman year with full recovery and a potential catastrophic break/tear that probably would have still affected him today.
It's key that you protect yourself for a period of time when the ankle "feels fine" but is still really not ... because unfortunately the body's response to an ankle giving way is to have the autonomous nervous system flip the circuit breakers and let it go.