Midfielders Gregg Wylde and Mervan Celik are the first players to leave Rangers after administrators rejected a proposal by the players to defer wages.
Wylde, 20, and Celik, a year older, have had their offers for voluntary redundancy with no pay-off accepted.
Duff & Phelps are meeting the squad at Murray Park in a last-ditch attempt to agree on wage cuts, as the club strives to make monthly savings of £1m.
Wylde BBC Scotland on Tuesday: "I volunteered to walk with no redundancy packaage today to help the other people in the club who have families, like the kitchen staff.
"I offered to walk away yesterday and the club told me today that they would accept that offer.
"At the moment I have nowhere to go and I don't have another club.
"I don't know what is going to happen next but I thought it was important to play my part in saving Rangers."
Celik is a Sweden Under-21 international attacking midfielder and moved to Ibrox from GAIS in Gothenburg on a three-and-a-half year deal in January.
Duff & Phelps set Monday as a deadline for a decision but the squad asked for a delay for the firm's officials to consider yet another proposal.
That came in response to a month-long proposal for structured cuts which would have meant the highest earners taking a 75% wage cut, middle-earners a 50% cut, with a 25% drop in salary for other players.
This, though, was rejected by the players at Murray Park, the club's training ground and led to the latest counter proposal.
In a statement released late on Monday afternoon, Paul Clark, joint administrator, said: "Everyone involved in the administration process has been attempting to reach a consensual solution in regard to job losses within the playing squad. The prime reason for this has been to achieve essential cost savings while preserving the fabric of the first team.
"This has not been an easy balance to strike and we would like to thank the manager Ally McCoist, his players and the PFA Scotland for attempting to find a solution that would be workable for all. Every realistic option is being explored.
"Regrettably, it has not been possible thus far to reach a consensus where players could accept the necessary level of wage cuts to prevent job losses within the squad.
"We do not for a moment criticise the players for this as the wage reductions that would be required are very substantial and would have a significant impact on each individual.
"For clarity, we cannot enforce wage cuts. The players have to agree to this course of action. The players have asked us to consider a final proposal overnight for discussion in the morning and we have agreed to this request."
On Friday Duff & Phelps rejected a union offer of "substantial salary deferrals".
The firm's David Whitehouse said wage deferrals would mean "a higher level of cost base", hindering the club's sale.
Meanwhile, the administrators have come to an agreement with Dunfermline to pay them the £83,000 owed for ticket sales.
Duff & Phelps are pursuing the club's owner Craig Whyte for up to £9m in money contractually promised at the time of last year's takeover.
Lawyers acting for the administrators have gained a court order to seize a preliminary £3.6m from Whyte's solicitors Collyer Bristow.
Whitehouse said: "It's most unlikely that cash will be released to the club in time to address this issue [job cuts].
"We're continuing to investigate monies which we believe should've been brought into the club."
On potential buyers, Whitehouse said his firm hoped "to get some real progress" but admitted getting the club out of administration with signed-off accounts by the end of March was "going to be a challenge".
The ability to meet the 31 March deadline will dictate whether Rangers can take part in European competition next season.
The SPFA insisted on Friday the "offer of wholescale wage deferrals addresses the administrators' goal" but that the administrators had indicated they were unlikely to accept the offer.
BBC Scotland has learned that the club's running costs between now and the end of the season are about £10m and the administrators have highlighted the need to fill a shortfall of £4.5m by the end of the season.
Another potential source of income for Rangers would be to sell players to countries that still have their transfer windows open and discussions are ongoing with several clubs.
Ben Arfa taken off, fuck off Pardew.