
Substantive talks began on Thursday afternoon and the Penguins have expressed an interest to Adams in resigning him, the source says.
Adams, 36, had 3 goals and 9 points in 48 games.
A deal could get done quickly and by the weekend, the source said. Adams a strong penalty killer, is a favorite of head coach Dan Bylsma.
Adams made $650,000 last season.
The Penguins have also been discussing deals for Pascal Dupuis and Matt Cooke. A deal with Dupuis was not close as of Thursday evening.