Rangers could be at the bottom of the Scottish Premiership by the time their next league match comes around.
The Ibrox club dropped to 10th in the table after their 2-0 defeat to Heart of Midlothian at Ibrox on Saturday.
Their next Premiership game is on Sunday, September 28, when they will travel to face Livingston at Almondvale.
Before that fixture, Dundee and Aberdeen, who sit 11th and 12th respectively, are both in action.
Dundee face Livi on Saturday, September 20, before travelling to take on St Mirren a week later.
The Dons are playing Dundee United on Tuesday, September 23 and then Motherwell a few days after.
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If Dundee secure two or more points from their next two games, and Aberdeen muster four or more from theirs, Rangers will drop to the bottom of the Premiership before their next match in the competition.
Despite mounting pressure on Russell Martin, the Ibrox hierarchy remains behind the head coach.
No board meeting is scheduled for the coming days as chairman Andrew Cavenagh prepares to make a pre-planned trip to Ibrox for the Hibs fixture that now carries even greater significance on and off the park.
Martin was asked if he would resign after the defeat to Hearts: "No," he simply replied.
"We have a lot of new guys in there," the Rangers boss continued. "We have a lot of players trying to feel their way in an environment that's really difficult to feel their way into their Rangers career. Really, really difficult.
"So we just have to make sure they're alright as human beings first and improve their performance. We're on the side of three poor decisions in my opinion. It's a handball for their first goal. Our goal is a goal. It's not a foul on the goalkeeper. And then Dio says he makes no contact. It's why it took so long.
"And we should have scored. We should have scored two or three. It was 1-0. We should have. But there's anxiety at the moment.
"The players are not the same team we see in training on Thursday and Friday when they go out and play in this environment right now. And that's not a criticism of anyone. So, to your emotion and your anger, I get it. I understand it. But we have to just keep working."