Wasps and La Rochelle are among the leading contenders to recruit the 27-year-old, whose contract expires in the summer.
Warriors have opened discussions with New Zealand-born Grigg, who has been one of their most important and effective players in the past two seasons under Dave Rennie.
Continue reading below…
WATCH: RugbyPass Originals
One of Welsh Rugby’s biggest characters on and off the pitch, RugbyPass travelled to Brecon to see how life after rugby is treating Andy Powell.
The centre was named in the Pro14 dream team of the 2017-18 campaign and nominated again last term after helping Glasgow to the Celtic Park final, where they lost narrowly to Leinster.
Grigg, eligible for Scotland through his grandfather, was signed by Rennie’s predecessor Gregor Townsend in 2015 after sending over a showreel from his time in New Zealand club rugby.
He broke into the Glasgow team following strong performances for Stirling County, and became a mainstay of Rennie’s backline with his explosiveness, dynamism and footwork.
Capped nine times, his defence – arguably the weakest aspect of his game – improved markedly last season, particularly during his three Six Nations starts. But alongside Huw Jones and Rory Hutchinson, Grigg missed out on a place in Townsend’s Rugby World Cup squad.
Sign up to our mailing list here and we’ll keep you up to the minute with weekly updates from the world of rugby.