Marmol was designated for assignment on June 25, giving the Cubs a 10-day period to trade him or give him his unconditional release. He has a limited no-trade clause with six teams he could block, including the Dodgers.
Marmol is owed more than $5 million on his $9.8 million for this season, and another source said the Dodgers will absorb some of the money owed.
Marmol has 117 saves over eight seasons with the Cubs. His best season as a closer came in 2010 when he had 38 saves, a 2.55 ERA and 138 strikeouts in 77 2/3 innings.