The midfielder's chant rung around Ibrox on the stroke of half-time after he headed the Light Blues ahead from Todd Cantwell's cross, playing a starring role as the Gers recorded their seventh successive win in all competitions.
Speaking to RangersTV after his goalscoring contribution, the 20-year-old says he is grateful for the love that he's received from the Light Blues support: "It's amazing to have fans like we have. I'm really glad that they like me as much as they do and I appreciate it a lot.
"I thought in the first half we played some good football but we only scored one goal. We deserved more, but in the second half, even though we still dominated the game, we conceded a goal and had a hard time to come back. We eventually came back and got the three points in the end which is what counts.
"It's always hard against these opponents who sit in a low block and defend their goal as best as they can. We're glad that we came back and happy with the three points."
Tillman provided the finishing touch on a well-worked move for the opening goal at Ibrox, and he hopes that the Gers can continue their winning momentum when Partick Thistle make the trip across Glasgow in the Fifth Round of the Scottish Cup next Sunday afternoon.
He continued: "I'm not really sure how we managed to work the goal, but Todd had the chance to cross it and, as an attacker, I have to be in the penalty box and score as many goals as I can and that's what I did. I'm happy to help the team.
"We try to win every game, especially given the team won the Scottish Cup last season. We have to keep going and continue to have the focus to win that game as well."