Buyer's buyers insisting on having a short gap between exchange and completion

[Blinktwice2]

Hi all,
We are selling in a short chain - our buyers are selling to FTB. We'll be moving to a rented place. We requested a 4 week gap between exchange and completion. Our EA told us today that the ftb's are absolutely desperate to get into their property and cannot agree to 4 weeks between exchange and completion. If they cant have their way they pull out and find something else !!

Anyway, please can anyone help us figure out how to manage this? We don't want to put in a deposit on a rented property until we've exchanged (we'll be liable for a lot of money if the sale falls through). How do people navigate this? Is it realistically possible to find a place and move in 2 weeks? I'm so stressed about this.

" If they cant have their way they pull out and find something else !! "

no they won't.

if they pull out they'll spend six months footling about, finding places, getting surveys, having them fall through.

Call them on it. It makes no sense. They are desperate to move so they are pulling out?