Stankovich was sent off for a dangerous tackle on London Irish scrum-half Darren Allinson during last Sunday's LV= Cup game at Welford Road.
He was later cited for allegedly stamping or trampling on Irish's England international prop Alex Corbisiero in the same fixture.
The RFU announced that Stankovich pleaded guilty to both counts, and the offences were considered together in totalling up his period of suspension.
He cannot play again until December 12, which rules him out of Leicester's next three games - Aviva Premiership appointments with Wasps and Bath, plus a Heineken Cup tie against Treviso.
Worcester flanker Jake Abbott, meanwhile, was handed a two-week suspension by the same three-man panel.
Abbott was cited for a dangerous tackle on Scarlets player Kieran Murphy in an LV= Cup tie at Sixways 11 days ago. He admitted the charge.
He will be unavailable for Worcester's Premiership game at home to Saracens on Friday night, and a trip to league champions Harlequins seven days later.
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.