The source said Wiegmann expects to inform the Chiefs by the draft of his future plans.
Wiegmann will turn 38 in July.
A former Kansas City standout from 2001-07, Wiegmann re-signed with the Chiefs last year after he was released by the Denver Broncos. Wiegmann beat out Rudy Niswanger for the starting job. Wiegmann extended his consecutive snap streak, which began in 2001, to beyond 10,000 in 2010.
If Wiegmann decided to play in 2011, he will surely be the Chiefs' starting center. Kansas City would miss Wiegmann. He and guards Brian Waters and Ryan Lilja gave the Chiefs a terrific tough, veteran presence in the interior of the line.
If Wiegmann doesn't return, Niswanger would likely be the top starting option. Regardless of whether Wiegmann returns, the Chiefs will likely consider drafting a young center.
Bill Williamson covers the AFC West for ESPN.com.