Elke won the Arnold Palmer Invitational in 2014 and 2015
The American Matt Every was suspended for 12 weeks for violating a drug policy.
The 35-year-old two-time PGA Tour winner said in a statement he had tested positive for cannabis, which he used for a "mental health condition."
Cannabis is legally prescribed for medical use in Florida, where Every is based.
He is eligible to return to the PGA Tour from January 7, 2020.