Tight end Saubert made the game-winning two-point conversion for Seattle.
Seattle engineered a stunning fightback to overcome the Rams in extra time, clinching their place in the NFL play-offs.
Overcoming a sixteen-point hole in the fourth quarter, the Seahawks emerged victorious 38-37 at home, registering their fifth consecutive victory.
While the Rams had become the first to earn a playoff berth earlier on game day, the Seahawks booked their return to the play-offs after a 24-month hiatus.
With this outcome, the Seahawks now lead their division's race with a 12-3 record, replacing the Rams, who fell to the number five seed with an 11-4 standing.
Quarterback Sam Darnold had two picks but regrouped to deliver two touchdown passes, culminating in the tying score to star receiver Smith-Njigba in overtime.
The Rams held a 13-7 advantage at the break before Walker burst through for a long scoring dash for Seattle.
Rams defensive back Josh Wallace then returned Darnold's first interception for 56 yards, leading to a short touchdown by Blake Corum on the next play.
In the fourth quarter, a touchdown from Stafford to Puka Nacua pushed the advantage to 30-14, but Shaheed ignited Seattle's comeback with a 58-yard punt return.
Darnold then connected with Barner in the end zone, and a successful conversion forced the game into overtime.
Although Nacua raced in for his another TD in overtime, Jaxon Smith-Njigba answered in kind to set up the game-winning conversion.
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