Russell Martin plans to keep hold of Nicolas Raskin and Mohamed Diomande this summer.
The new Rangers head coach was quizzed directly on the future of the midfield pair after he was unveiled at Ibrox on Thursday.
"We have to try and keep our best players," said Martin.
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"And I think we're all really aligned with that.
"So, unless things come in that really help the club to build and move forward, I don't think it's a necessity to do that at all. That's my understanding of it.
"And we've all been really clear on it. So we'll just have to wait and see. But I'm looking forward to working with those guys."
Both Raskin and Diomande caught the eye for Rangers last season, each scoring in a memorable 3-2 victory over Celtic at Parkhead.
Former Ibrox boss Philippe Clement reckons the former is capable of playing in England's top flight.
He said: "I think he's ready. I'm convinced Nico would fit perfectly in the Premier League.
"I'm not saying he would be in a top six team now. But just below that, so he can calmly adapt to the level.
"Make no mistake: Nico has a lot of room to grow.
"He has to make the right choice now. And if he leaves and gets enough playing time at his new club, he will only get better. I would put my hand in the fire for that."