Asked about suggestions that people should be buying their Christmas presents now to avoid disappointment, UK Major Ports Group chief executive Tim Morris told the PA news agency: "Our view would be that there's no need to panic.
"The global supply chains are very busy, but they're pretty robust.
"There'll be short term some fluctuations, but retailers, their suppliers, all the logistics companies that work in between the manufacturing and the sales side will be working really, really hard to keep supplies moving.
"We managed it successfully last Christmas and we're confident that it will happen again this Christmas, and that's what I've told my kids."
But Robert Gliddon, owner of Gliddons Toy Shop in Sidmouth, Devon, urged consumers to "buy now" to avoid Christmas disappointment amid fears that ongoing supply chain problems will result in higher prices and empty shelves.
He said: "It's not just shortages - you've got to face the reality of price rises, anything from 10% to 15% on anything from across the seas."
He advised consumers: "If you see it, buy it, and be prepared to pay more before Christmas."
Mr Gliddon said his shop is currently well stocked as a result of heavy ordering over the last two months in anticipation of supply issues in the run-up to Christmas, when demand is heaviest.
A spokesman for the British Toy & Hobby Association said: "Nobody wants to face shortages for things they need or are seeking but we are facing shortages in some form in various ways presently.
"The toy sector is not alone in facing huge global and local supply challenges at the current time.
"A combination of restricted transport options and availability and higher transportation costs face our sector like many others. We understand people are concerned about shortages and it is a concern we share - we expect continued disruption to delivery schedules in varying degrees over the coming months.
"Toy manufacturers are working around the clock to face down this unwelcome vortex of logistical challenges to try to ensure their toys arrive and provide the range of choice consumers seek each autumn/winter and that companies wish to provide."
He added: "There are plenty of toys to choose from presently but, in common with other sectors' advice, buying early - especially if buying for a Christmas or a birthday present - is prudent."
Shipping giant Maersk has said it is diverting vessels away from UK ports because of a build-up of cargo.
It has started rerouting its container ships away from Felixstowe, the UK's largest commercial port, to unload elsewhere in Europe before using smaller vessels to finally get deliveries to the UK.
The UK's port industry has also warned that some ports are managing access to storage space with "short-term restrictions" in a bid to ease congestion issues.
Andrew Opie, director of food and sustainability at the British Retail Consortium, said: "Congestion at the Port of Felixstowe is yet another unwanted side-effect of the HGV driver shortage. As cargo cannot be removed fast enough, there is a backlog of containers at the ports which is preventing new ships from docking and unloading.
"Retailers are working closely with suppliers to mitigate issues, including finding alternative routes to bring goods into the country, but further disruption may be unavoidable.
"This comes on the back of a very challenging 18 months for supply chains due to Covid and the disruption to global shipping and transport logistics.
"Extending the temporary visa scheme to increase the pool of drivers available would provide a short-term fix to these problems, and the Government must act quickly to prevent further disruption for consumers in the months ahead."
Doug Bannister, chief executive of the Port of Dover, said there is "no congestion" at Dover, adding that people can count on the route to the Kent port functioning as the ferries always keep moving.
Asked about the suggestion that there will be empty shelves at Christmas and how "Grinchy" he feels, Mr Bannister told Times Radio: "I don't feel particularly Grinchy, but at the same time, you know, listen, Felixstowe, London Gateway, Southampton, these big container ports, for the goods coming on the long supply routes, on these big ships from Asia and India and the Middle East, these are providing a lot of the goods that people want to have around Christmas time."
He said he expects European goods to be on the shelves for Christmas, adding: "So I don't feel particularly grumpy knowing our business, but I do wonder about, you know, if my wife needs to pre-buy some early Christmas presents for the kids."
Conservative Party co-chairman Oliver Dowden insisted the Government is "working through these challenges" amid a build-up of cargo at UK ports.
He told Sky News: "There is though clearly a challenging problem, particularly with HGV drivers, not just here, it's across Europe - Poland, the US, even China has this challenge. That's why we've been taking steps to address it, whether it is, for example, with training, 5,000 more places for training HGV drivers, making the process more flexible. We're working through these challenges to address them."
Asked about potential Christmas shortages, Mr Dowden said: "The situation is improving. I'm confident that people will be able to get their toys for Christmas. Some people buy very early for Christmas - my wife is quite an early Christmas buyer - others buy later. I would say just buy as you do normally."
Asked if Father Christmas will visit, Mr Dowden said: "Yes, I have children myself and they can be (comfortable) on that front."