The 23-year-old’s future has been the subject of much speculation in the past week after Rangers submitted bids for the midfielder, two days before the teams met in the Petrofac Training Cup last weekend.
Allan was left out of the starting team because of the interest in his future, but did come off the bench as Hibernian were beaten 6-2 at Ibrox.
A statement from Hibernian read: “In the face of continued media interest, Hibernian Football Club can confirm that Scott Allan has today handed in a written transfer request.
“This comes on the back of two unwelcome and uninvited approaches from Rangers FC regarding Scott, the first for £175,000 and the second for £225,000.
“Hibernian FC has refused both bids because the Club has no wish to transfer a valuable player to strengthen a major rival in the battle to win the Championship and gain promotion to the Premiership.
“Hibernian’s position has not changed. The player will not be sold to Rangers.”
Allan started his career with Dundee United before moving to West Brom in 2012 and spent time on loan with Portsmouth, Milton Keynes and Birmingham during his time at The Hawthorns.
Rangers were interested in signing the player last summer, but he chose to join the Easter Road club instead.
Meanwhile, Aberdeen are rumoured to be preparing a £250,000 bid for the player, according to reports in the regional press.
Scottish Premiership rivals Dundee United attempted to lure Allan back to Tannadice in January, and may also enter the fray should Hibs decide to sell.
United are in the best position financially having sold Ryan Gauld to Sporting Lisbon, Andrew Robertson to Hull City, and Stuart Armstrong, Gary Mackay-Steven and Nadir Ciftci, all to Celtic in the last year.