The 28-year-old, who was part of the Scotland side that lost their Six Nations opener to England on Saturday, has been at Kingsholm for the last five years and more than 100 appearances for the club.
Gloucester coach Bryan Redpath said of the former Edinburgh player: "It's a shame that he'll be leaving us at the end of the season because Strokes has been a top professional in his time with us.
"He's never delivered less than 100% in the cherry and white of Gloucester and his will be big boots to fill.
"However, I can completely understand his desire to test himself in a different playing environment at this stage of his career. It's something I did myself in my playing days.
"He's been completely up front with us, he's handled things with a lot of class and I know, that when he gets back from Scotland, that he'll be looking to end his Gloucester career on a high. We all wish him well."
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.
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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.