Walter Smith says winning their final four matches would be a great finish to Rangers' season, regardless of whether they retain their title.
Celtic are a point behind Smith's side but have a game in hand.
"It would be a terrific finish to the season, regardless of how the championship finishes up," said Smith.
"Of course we obviously hope that if we can win each match then that pressure will result in Celtic doing something that would be of benefit to us."
The destiny of the title slipped out of Rangers' hands on Sunday, when they were held to a goalless draw by Celtic at Ibrox.
But the Light Blues will extend their advantage in the Scottish Premier League to four points if they beat Motherwell on Saturday - 24 hours before Celtic host Dundee United.
And, if they beat the Scottish Cup finalists at Fir Park, Rangers would definitely top the table if they win their following two matches, against Hearts and Dundee United at home, with Celtic playing the following day on each occasion.
"We had a situation a few weeks ago where, if we had beaten Dundee United, we would be in a position where we were in charge of our own destiny, but unfortunately we lost that game," manager Smith told Rangers' website.
"So we had the chance to get that back in the Old Firm game at the weekend and we didn't take it.
"It was a good performance from the team overall, but we didn't take our chances.
"Since the Dundee United game that we lost, we have been on a good run and we obviously realise that we need to win our remaining four matches and see what happens."
Smith hopes to have midfielders Jamie Ness and Lee McCulloch back from injury for the run-in, but they are unlikely to start against Motherwell.
McCulloch is pushing for a return from knee surgery, while Ness has been troubled by a calf strain.
"We will have to see how things go as we reach the weekend," added Smith. "We are hopeful we will have Lee and Jamie back in the squad, but neither of them will be fully match fit.
"Jamie has had more games in the second half of the season than Lee, but they have both been missing for a while, so we will have to be careful.
"We would certainly like to have them back for the remaining matches."