It comes just days after McDonald’s, KFC and Nando’s confirmed they were struggling with supply.
Logistics UK, which represents freight firms, and the British Retail Consortium, said a shortfall of some 90,000 HGV drivers was the root of the problem as there is simply not enough staff to deliver goods.
Sandwich and pastry store Greggs said on Wednesday “interruptions in supply for some ingredients” meant some favourites were not available.
A Greggs spokesperson said: “Unfortunately, like others , we’re seeing temporary interruptions in supply for some ingredients which occasionally results in shops not being able to maintain full availability on all lines.
“However, we have a wide range of choices in our menu for customers happy to buy an alternative.”
Meanwhle, coffee store Costa is offering a reduced menu - with some customers reporting certain shops had run out of coffee.
Costa said on Twitter: “We are facing some supply chain issues just now.
“We’re working hard to resolve this ASAP.”
Meanwhile, sandwich brand Subway confirmed that it is experiencing issues.
A spokesperson from the sandwich chain said to The Mirror: “We appreciate that supply chain pressure is something a lot of the industry is experiencing at the moment.”
Earlier this week, it was confirmed tht McDonald’s restaurants across Britain are unable to serve milkshakes after the burger chain was hit with supply issues.
The fast food giant has also run out of bottled drinks at some 1,250 locations.
A McDonald’s spokesman said staff are “working hard to return these items to the menu as soon as possible”.
He added: “Like most retailers, we are currently experiencing some supply chain issues, impacting the availability of a small number of products. Bottled drinks and milkshakes are temporarily unavailable in restaurants across England, Scotland and Wales.
“We apologise for any inconvenience, and thank our customers for their continued patience.”
It is latest company to be hit by supply issues thought to be caused by a shortage of lorry drivers due to new EU immigration rules brought in after Brexit and Covid restrictions.
Lobby groups for the retail and transport industries have written to Business Secretary Kwasi Kwarteng with a stark warning about Britain’s lorry driver shortage and the knock on effect to supply chains.
They want a review of plans not to grant temporary work visas to drivers from the EU.
Logistics UK said the shortage was “placing increasingly unsustainable pressure on retailers and their supply chains.”
They added: “While there was a shortage of HGV drivers prior to the Covid-19 pandemic and Brexit, these two events have exacerbated the situation.
“The pandemic halted driving training and testing for over 12 months, while an estimated 25,000 EU drivers returned home during the pandemic and following the end of the transition period.”