That news came just hours after Matthew Kilgallon's agent revealed that the defender, who has also been linked with a move to St James' Park, had decided to stay at Sheffield United.
With Leeds understood to have rebuffed Newcastle's advances for Beckford to date, manager Hughton indicated his club would not be dragged into a bidding war for the man whose goal dumped Manchester United out of the FA Cup on Sunday.
Hughton said: "What I have been told is I will be backed very much at board level.
"But of course what I am conscious of is that any player you bring in has a value and I have to work within the parameters that way. But that's normal and that's the way to do our business."
Newcastle would prefer to do their business early, but Hughton accepts that may not be possible.
He said: "The ideal scenario is to get your players in as quickly as you can, but what you find is that over a period of time, players become available who you didn't think were going to be available, and that will always come into the equation as well."
Asked specifically about Beckford, Hughton said: "There's no doubt he is a good player - that's shown by his goalscoring record and what he has achieved at Leeds.
"But there are numerous good players who have been linked to us and until something is done or something is confirmed, they are all speculation."
Hughton, who is also working to retain the services of on-loan Manchester United defender Danny Simpson, also acknowledged his interest in Kilgallon.
He said: "Yes, he [Kilgallon] would be one of a few players we would have had an interest in.
"We are still making decisions about which way we are going to go.
"One thing we have stressed is that we feel we have got a good squad and it is just the additions to the squad we need.
"We have lost two players we had on loan and we feel we need to replace in those areas, but certainly there won't be a lot of players coming in, it will just be the additions we need to the squad."
Hughton also confirmed that midfielder Geremi remains a Newcastle player, for the time being at least, after Turkish club Ankaragucu claimed to have signed him earlier this week.
He said: "We were as surprised as anybody. At this stage, he is still very much a Newcastle United player."