The 30-year-old arrived at Kingsholm in 2008 from Sale Sharks and has gone on to make 84 appearances for the Cherry and Whites.
However with Darren Dawidiuk establishing himself as Gloucester's first-choice No 2 this season, the club have agreed to let Lawson leave at the end of the current campaign.
Head coach Bryan Redpath said: "Scott's always given nothing less than his best for Gloucester during his time with us.
"He'll go with our best wishes and we wish him well for the future."
Sale and Wasps had been monitoring Lawson's future, while the Scottish Rugby Union are keen for the former Glasgow front-rower to return north of the border.
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.
$29.99
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.