Warburton was impressed by the 16-year-old’s full debut for the Almondvale club on Tuesday as the teenager helped David Hopkin’s side beat Rangers 1-0.
Knox trained with the Ibrox side last month and at the time Warburton described him as “technically gifted”.
The youngster, who has also made six substitute appearances for Livingston and became the youngster player to make a competitive appearance for the West Lothian side, has also been on trial at Manchester United, Liverpool, Everton, Tottenham and Chelsea. But Warburton is hoping he can convince Knox that Rangers would be the best move.
Speaking to Sky Sports, Warburton said: “Matthew is a talented young player, there’s talks going on – obviously.
“He is a young talented player and as a club we have to make sure we get the best young talents and bring them in.
“We have to look to get the best possible player available throughout the age groups.”