The 21-year-old recently returned to White Hart Lane following a year in the English Championship with Rotherham United, and played against the Gers in a behind-closed-doors friendly defeat last week.
Rangers borrowed Nathan Oduwa and Dominic Ball from Spurs last summer and, though the former's spell was cut short in January, manager Mark Warburton told the Glasgow Evening Times last week he hopes that such deals can strengthen the two clubs' relationship.
Though predominantly a right-sided midfielder, Ward featured everywhere across the middle for Rotherham this past season, scoring twice in 43 appearances.
His progression was hailed by Millers boss Neil Warnock during an interview with BBC Radio Sheffield earlier this month, though the 67-year-old said he was not yet ready to compete for a place in Spurs' first team.
"I think, no doubt, he’ll go back out on loan next season," Warnock said.
"I don’t know whereabouts, whether Rotherham will have a chance or not, or whether he’ll go elsewhere.
"He’ll not get in the Tottenham team at the moment, he needs experience."
Rangers, who have already added Liverpool teenager Jordan Rossiter to their ranks, have been linked with a move for Reds winger Sergi Canos, along with veteran midfielders Joey Barton and Niko Kranjcar, this week.