Talib will begin serving his suspension immediately and is eligible to return to the active roster on Monday, Nov. 4.
Talib released a statement saying his suspension was a result of testing positive for Adderall. He doesn't plan on appealing the punishment.
"Around the beginning of training camp, I made a mistake by taking an Adderall pill without a prescription," Talib's statement read. "This is especially regrettable because, for the past several months, with Coach Schiano's help, I've worked very hard to improve myself -- professionally and personally -- as a player and a man. I am truly sorry to my teammates, coaches and Buccaneers fans, and I'm disappointed in myself. I will work diligently every day of this suspension to stay in top football shape and be ready to help this team in the second half of the season. I have chosen to be immediately accountable for the situation I put myself in, which is why I will not exercise my appeal rights and will begin serving the suspension immediately."
The Associated Press contributed to this report.