Light Blues boss Ally McCoist confirmed last week that a deal had been put on the table for the former Hearts star after he impressed during a trial stint at Murray Park.
Zaliukas has still not put pen-to-paper to become McCoist's 10th new signing this season and DJ insists it is now or never for the Lithuanian stopper.
He told SportTimes: "I think Marius Zaliukas is a smashing player and he has proved that at Hearts. He has good experience at the highest level in Scotland.
"What I don't understand is why he hasn't jumped at the chance to sign for Rangers. There is not a queue of clubs lining up to sign him.
"If Ally offered him a deal until January or whenever it is a chance for him to put himself in the shop window, if he can get a game.
"Would he rather go back to Lithuania and not play games or come to Rangers and play?
"He might be looking for more money than Rangers are prepared to pay him. The club are not going to pay over the odds for players.
"If he wants to come and try and work his way into the side then he should sign. He is better doing that than sitting twiddling his thumbs.
"All he is doing by spending a few days to think about it is wasting time. You either want to play for Rangers or you don't."
As Zaliukas ponders his future, Robbie Crawford is already looking to the Gers' Ramsdens Cup semi-final away to Stenhousemuir, claiming they will treat their League One rivals with respect.
The midfielder told RangersTV: "It was always going to be difficult whoever we were drawn against because they'll be up for it.
"Every team looks forward to playing us. They'll all be in our faces and we need to take each game as it comes rather than get complacent.
"This is a semi-final and we need to show Stenhousemuir respect in it because they've done well to get this far.
"We know what to
"We need to concentrate on this game though rather than get too carried away."