Rogers popped the question to the Army Wives star on 19 October (10).
The couple, which met in an acting class, has been together for nearly five years and is planning to make the relationship official with a August or September, 2011 wedding, reports People.com.
Pressman's spokesperson confirms: "David got down on one knee. After an immediate 'yes', they embraced in a loving... hug."
This will be the first marriage for both.