Warner and Watson gave Australia the perfect start, adding 118 for the first wicket at a run a ball before Forrest held the middle overs together with his patient knock.
A decision to promote Lee to No.5 in a pinch-hitting role didn't work out with the fast bowler only scoring 12 but Matthew Wade's late cameo (26 off 17 balls) gave Australia momentum going into the break.
Allrounder Russell, who made several athletic stops in the field, claimed 4-61 off nine overs with Kemar Roach (3-53) and Sunil Narine (2-55) the other wicket-takers.
Lee (3-42) made a brilliant start with the ball, removing Johnson Charles and Marlon Samuels for ducks as he bowled three straight maidens to leave the Windies 2-7 after five overs.
A sickening collision between wicketkeeper Wade and Ben Hilfenhaus as the fast bowler claimed a high catch to remove Carlton Baugh left Wade on the ground in agony.
The Victorian recovered to see out the match but will be hoping any injuries he sustained aren't serious enough to rule him out of Tuesday's first Twenty20 match.
Baugh's wicket came when Australia were cruising to victory, the dismissal of Kieron Pollard for 33 shortly after leaving the Windies 7-118.
But that was before Sammy arrived to ensure a fitting end to a thrilling series.
- AAP