Rangers manager Paul Le Guen is "optimistic" Jeremy Clement will sign for the club by the end of the week.
Clement arrives at Glasgow Airport on Tuesday afternoon
The 21-year-old Lyon midfielder arrived in Glasgow for talks on Tuesday after a fee of about £1.1m was agreed.
"We are making progress and, hopefully, we will be able to announce his signing before the end of the week - before going to South Africa," said Le Guen.
"Jeremy came yesterday and saw Murray Park and Ibrox and was pleased with that. I am optimistic he will sign."
Le Guen's former club Lyon had been asking for £2m for Clement but a compromise was reached after six weeks of negotiations.
"He will bring a good balance between experience and youth."
Le Guen is also chasing Brondby striker Johan Elmander, who played for Sweden in the World Cup.
It has been reported that the Danish club are looking for £4m, while Rangers are prepared to offer about £2.5m.
The Frenchman said on Wednesday that more talks would take place with Brondby and he said he was hopeful they would drop their asking price.
Rangers leave for a pre-season tour of South Africa on 8 July and Le Guen has cut short the summer break of two of his new signings who had been with their countries at the World Cup.
Czech winger Libor Sionko and Swedish defender Karl Svensson have been told they must join the squad for the pre-season tour.
"I want Sionko and Svensson to integrate with the squad in South Africa," added Le Guen.
"It is important they get to know the rest of the players and their partners on the field and that is why I took this decision."
Le Guen also confirmed that Barry Ferguson, currently recovering from injury, would retain the captaincy for the coming season, though Gavin Rae will wear the armband for the friendly with Linfield on Thursday, suggesting there is a future for him at the club.
"Barry is getting better and better, day after day. He works hard and I will wait for him," Le Guen told Rangers News.
"I know he is an important player of the team but we must not go too fast. We need to take it step by step.
"He will be my captain in the season ahead. There is no reason to change."