The Steelers are targeting their Dec. 19 game at San Francisco for Woodley's return, the source told the website.
Woodley, Pittsburgh's sacks leader with nine, tweaked his hamstring in Sunday's 35-7 rout of the Bengals and sat for the final three quarters. He had missed the previous three games with the same injury.
After the game, Woodley told reporters that he planned on playing against the Browns. A day later, coach Mike Tomlin didn't rule him out.
When Woodley returns, he is expected to split snaps with Jason Worilds because the hamstring injury will likely linger throughout the remainder of the season.
Jamison Hensley covers the AFC North for ESPN.com.