The Light Blues reignited their interest in the attacking midfielder last Wednesday and have now agreed terms with the player.
It is believed Hastie will sign a three-year deal at Ibrox with an optional fourth year.
All that is left is for the 20-year-old is to sign above the dotted line.
Motherwell have fought tooth and nail to retain their talented youngster but manager Stephen Robinson has now accepted defeat.
The Northern Irish tactician revealed ahead of Saturday’s 1-1 derby draw with Hamilton Academical that Hastie would likely leave Fir Park once his contract expires on May 31.
“I don’t think Jake will sign for us,” Robinson admitted.
“I am not 100 per cent where he will go, but I have an idea and it won’t be signing for Motherwell.
“For me it’s about making sure Motherwell are strong for next year.
“We have made him the best offer the club can do and he’s not signed it, so I would say that’s a good indication.”
Express Sport understands Hastie is keen to shake hands on a deal with Rangers ahead of the summer transfer window, hence the expectancy to get it done this week.
The tricky winger has come through the youth academy at Motherwell and showed his readiness for senior football earlier this season when he was loaned out to Championship side Alloa Athletic.
After five months away, the player was introduced to Well’s first team, where he has bagged six goals and one assist in 12 league games.
Goals in victories over Livingston, St Mirren, Hearts and Hamilton caught the eye of Gerrard, who is now primed to get his man.
Hastie is also on the brink of his first Scotland cap after being called up to the U21 squad for March’s international break.