The powerful full-back has six goals in 10 games this season.
The summer signing has been a revelation this term, and his goal-scoring exploits from defence have prompted gambling types to put money on him to get on the scoresheet this season.
“There have been a few fans come up to me to say I’d won them some money and I see the odd betting slips on my Twitter timeline that guys have sent me,” he told the Daily Record.
“They’re trying to put a bit of pressure on me but it’s obviously something to be glad about…People have been telling me that the odds on me have been rotten lately.
“It’s enjoyable to see… I feel bad when I don’t score and they’re losing money. I could send them some money back but that might become a lot of people,” he added jokingly.
It’s little wonder fans have started to put money on the former Wigan man finding the net after his sensational start to the season.
The 23-year old has managed six goals in his first 10 games, and shows no signs of letting up.
Tavernier was named Scottish Championship Player of the Month for August, and his recognition is indicative of the performances of the Rangers team as a whole.
Confidence is sky-high at Ibrox and goals have been spread throughout the team, with a collective commitment to attacking evident under Mark Warburton.
The Gers boast a 100% record so far this season and on the evidence of the last few weeks, it’s hard to see who can halt their march.