The Huddersfield Examiner report that Town are 'relaxed' about Rangers interest, indicating they are confident they can hold onto the in demand figure.
Webber has helped oversee Huddersfield's rise to the Championship play-off spots and promotion is a real possibility.
If Rangers were able to lure him away, here are three Terriers players he could consider targeting to follow him to Ibrox.
Aaron Mooy of Huddersfield Town celebrates scoring against rivals Leeds
Australian ace Aaron Mooy has impressed this season on loan at Huddersfield, where he is on loan from Manchester City.
The BBC reported this summer how Mooy was interesting Rangers, before landing his move from Melbourne City to England.
The former St Mirren ace told the Daily Record in 2010 how he used to wake up at 5am to watch the Gers in action, although with Manchester City monitoring his progress on loan, another temporary deal may be Rangers' best bet of signing him.
Huddersfield's Danny Ward
Goalkeeper is a potential problem position for Rangers, but if they can also land Derek McInnes from Aberdeen then Ward could become a top priority.
Ward played on loan under McInnes at Aberdeen while he was at Liverpool, and has established himself as an asset for the Championship side since signing permanently.
Huddersfield Town's Elias Kachunga in action with Ipswich Town's Christophe Berra
Striker Elias Kachunga is on loan from German side Ingolstadt, and a bidding war could emerge for his services this summer.
Everton, Watford and Middlesbrough are all keen on the 24-year-old according to The Mirror, who has netted 10 goals in the Championship this season.
Webber would have helped close the original loan deal for the striker and could give Rangers an edge if they could compete financially.