The amount of cocaine that can lead to an overdose can vary significantly depending on factors such as your body weight, tolerance to cocaine, route of administration, and the purity of the cocaine. NIDA (National Institute on Drug Abuse) reports that a cocaine overdose can occur with as little as 1 gram of cocaine. That said, cocaine overdose may occur with lower doses, especially if the cocaine is very pure or if it is used in combination with other substances.